TY  - JOUR
AU  - Stojiljković, Vuk
AU  - Mirkov, Nikola
AU  - Radenović, Stojan
PY  - 2024
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/12722
AB  - In this paper, various tensorial inequalities of trapezoid type were obtained. Identity from classical analysis is utilized to obtain the tensorial version of the said identity which in turn allowed us to obtain tensorial inequalities in Hilbert space. The continuous functions of self-adjoint operators in Hilbert spaces have several tensorial norm inequalities discovered in this study. The convexity features of the mapping f lead to the variation in several inequalities of the trapezoid type.
T2  - Symmetry
T1  - Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces
VL  - 16
IS  - 1
SP  - 121
DO  - 10.3390/sym16010121
ER  - 

@article{
author = "Stojiljković, Vuk and Mirkov, Nikola and Radenović, Stojan",
year = "2024",
abstract = "In this paper, various tensorial inequalities of trapezoid type were obtained. Identity from classical analysis is utilized to obtain the tensorial version of the said identity which in turn allowed us to obtain tensorial inequalities in Hilbert space. The continuous functions of self-adjoint operators in Hilbert spaces have several tensorial norm inequalities discovered in this study. The convexity features of the mapping f lead to the variation in several inequalities of the trapezoid type.",
journal = "Symmetry",
title = "Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces",
volume = "16",
number = "1",
pages = "121",
doi = "10.3390/sym16010121"
}

Stojiljković, V., Mirkov, N.,& Radenović, S.. (2024). Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces. in Symmetry, 16(1), 121.
https://doi.org/10.3390/sym16010121

Stojiljković V, Mirkov N, Radenović S. Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces. in Symmetry. 2024;16(1):121.
doi:10.3390/sym16010121 .

Stojiljković, Vuk, Mirkov, Nikola, Radenović, Stojan, "Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces" in Symmetry, 16, no. 1 (2024):121,
https://doi.org/10.3390/sym16010121 . .

TY  - JOUR
AU  - Younis, Mudasir
AU  - Mirkov, Nikola S.
AU  - Savić, Ana
AU  - Pantović, Mirjana
AU  - Radenović, Stojan
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11206
AB  - This paper aims to correct recent results on a generalized class of F−contractions in the context of b−metric spaces. The significant work consists of repairing some novel results involving F−contraction within the struc-ture of b-metric spaces. Our objective is to take advan-tage of the property (F 1) instead of the four properties viz. (F 1), (F 2), (F 3) and (F 4) applied in the results of Nazam et al. [“Coincidence and common fixed point theorems for four mappings satisfying (αs, F)−contraction", Nonlinear Anal: Model. Control., vol. 23, no. 5, pp. 664–690, 2018]. Our approach of proving the results uti-lizing only the condition (F 1) enriches, improves, and condenses the proofs of a multitude of results in the ex-isting state-of-art. © 2023 M. Younis et al.
T2  - Cubo
T1  - Some critical remarks on recent results concerning F−contractions in b-metric spaces
VL  - 25
IS  - 1
SP  - 57
EP  - 66
DO  - 10.56754/0719-0646.2501.057
ER  - 

@article{
author = "Younis, Mudasir and Mirkov, Nikola S. and Savić, Ana and Pantović, Mirjana and Radenović, Stojan",
year = "2023",
abstract = "This paper aims to correct recent results on a generalized class of F−contractions in the context of b−metric spaces. The significant work consists of repairing some novel results involving F−contraction within the struc-ture of b-metric spaces. Our objective is to take advan-tage of the property (F 1) instead of the four properties viz. (F 1), (F 2), (F 3) and (F 4) applied in the results of Nazam et al. [“Coincidence and common fixed point theorems for four mappings satisfying (αs, F)−contraction", Nonlinear Anal: Model. Control., vol. 23, no. 5, pp. 664–690, 2018]. Our approach of proving the results uti-lizing only the condition (F 1) enriches, improves, and condenses the proofs of a multitude of results in the ex-isting state-of-art. © 2023 M. Younis et al.",
journal = "Cubo",
title = "Some critical remarks on recent results concerning F−contractions in b-metric spaces",
volume = "25",
number = "1",
pages = "57-66",
doi = "10.56754/0719-0646.2501.057"
}

Younis, M., Mirkov, N. S., Savić, A., Pantović, M.,& Radenović, S.. (2023). Some critical remarks on recent results concerning F−contractions in b-metric spaces. in Cubo, 25(1), 57-66.
https://doi.org/10.56754/0719-0646.2501.057

Younis M, Mirkov NS, Savić A, Pantović M, Radenović S. Some critical remarks on recent results concerning F−contractions in b-metric spaces. in Cubo. 2023;25(1):57-66.
doi:10.56754/0719-0646.2501.057 .

Younis, Mudasir, Mirkov, Nikola S., Savić, Ana, Pantović, Mirjana, Radenović, Stojan, "Some critical remarks on recent results concerning F−contractions in b-metric spaces" in Cubo, 25, no. 1 (2023):57-66,
https://doi.org/10.56754/0719-0646.2501.057 . .

TY  - CHAP
AU  - Fabiano, Nicola
AU  - Mirkov, Nikola S.
AU  - Mitrović, Zoran D.
AU  - Radenović, Stojan
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11359
AB  - We discuss and give some insights on the Collatz conjecture, known as 3N + 1, and Kurepa’s hypothesis on the left factorial. First, the Collatz conjecture is considered and the density of values is compared to Planck’s black body radiation in physics, showing a remarkable agreement between the two. We also briefly discuss a generalization of Collatz conjecture for a generic sequence qN +1 by means of numerical analysis. Then, we give a brief historical excursus and prove in a simple way some properties of Kurepa’s function, also called the left factorial. We introduce Kurepa’s hypothesis, propose a new description, and the relation to Bezout’s parameters and the Diophantine equation. A numerical analysis supports Kurepa’s hypothesis and the conjecture about distribution for Kurepa’s function.
T2  - Advances in Number Theory and Applied Analysis
T1  - Collatz Hypothesis and Kurepa’s Conjecture
SP  - 31
EP  - 50
DO  - 10.1142/9789811272608_0003
ER  - 

@inbook{
author = "Fabiano, Nicola and Mirkov, Nikola S. and Mitrović, Zoran D. and Radenović, Stojan",
year = "2023",
abstract = "We discuss and give some insights on the Collatz conjecture, known as 3N + 1, and Kurepa’s hypothesis on the left factorial. First, the Collatz conjecture is considered and the density of values is compared to Planck’s black body radiation in physics, showing a remarkable agreement between the two. We also briefly discuss a generalization of Collatz conjecture for a generic sequence qN +1 by means of numerical analysis. Then, we give a brief historical excursus and prove in a simple way some properties of Kurepa’s function, also called the left factorial. We introduce Kurepa’s hypothesis, propose a new description, and the relation to Bezout’s parameters and the Diophantine equation. A numerical analysis supports Kurepa’s hypothesis and the conjecture about distribution for Kurepa’s function.",
journal = "Advances in Number Theory and Applied Analysis",
booktitle = "Collatz Hypothesis and Kurepa’s Conjecture",
pages = "31-50",
doi = "10.1142/9789811272608_0003"
}

Fabiano, N., Mirkov, N. S., Mitrović, Z. D.,& Radenović, S.. (2023). Collatz Hypothesis and Kurepa’s Conjecture. in Advances in Number Theory and Applied Analysis, 31-50.
https://doi.org/10.1142/9789811272608_0003

Fabiano N, Mirkov NS, Mitrović ZD, Radenović S. Collatz Hypothesis and Kurepa’s Conjecture. in Advances in Number Theory and Applied Analysis. 2023;:31-50.
doi:10.1142/9789811272608_0003 .

Fabiano, Nicola, Mirkov, Nikola S., Mitrović, Zoran D., Radenović, Stojan, "Collatz Hypothesis and Kurepa’s Conjecture" in Advances in Number Theory and Applied Analysis (2023):31-50,
https://doi.org/10.1142/9789811272608_0003 . .

TY  - JOUR
AU  - Fabiano, Nicola
AU  - Kadelburg, Zoran
AU  - Mirkov, Nikola S.
AU  - Radenović, Stojan
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11360
AB  - In 1964, A. I. Perov generalized the Banach contraction principle introducing, following the work of Đ. Kurepa, a new approach to fixed point problems, by defining generalized metric spaces (also known as vector valued metric spaces), and providing some actual results for the first time. Using the recent approach of coordinate representation for a generalized metric of Jachymski and Klima, we verify in this article some natural properties of generalized metric spaces, already owned by standard metric spaces. Among other results, we show that the theorems of Nemytckii (1936) and Edelstein (1962) are valid in generalized metric spaces, as well. A new application to fractional differential equations is also presented. At the end we state a few open questions for young researchers. © Işık University, Department of Mathematics, 2023; all rights reserved.
T2  - Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
T1  - Solving fractional differential equations using fixed point results in generalized metric spaces of Perov's type
VL  - 13
IS  - 3
SP  - 880
EP  - 890
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11360
ER  - 

@article{
author = "Fabiano, Nicola and Kadelburg, Zoran and Mirkov, Nikola S. and Radenović, Stojan",
year = "2023",
abstract = "In 1964, A. I. Perov generalized the Banach contraction principle introducing, following the work of Đ. Kurepa, a new approach to fixed point problems, by defining generalized metric spaces (also known as vector valued metric spaces), and providing some actual results for the first time. Using the recent approach of coordinate representation for a generalized metric of Jachymski and Klima, we verify in this article some natural properties of generalized metric spaces, already owned by standard metric spaces. Among other results, we show that the theorems of Nemytckii (1936) and Edelstein (1962) are valid in generalized metric spaces, as well. A new application to fractional differential equations is also presented. At the end we state a few open questions for young researchers. © Işık University, Department of Mathematics, 2023; all rights reserved.",
journal = "Turkish World Mathematical Society Journal of Applied and Engineering Mathematics",
title = "Solving fractional differential equations using fixed point results in generalized metric spaces of Perov's type",
volume = "13",
number = "3",
pages = "880-890",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11360"
}

Fabiano, N., Kadelburg, Z., Mirkov, N. S.,& Radenović, S.. (2023). Solving fractional differential equations using fixed point results in generalized metric spaces of Perov's type. in Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 13(3), 880-890.
https://hdl.handle.net/21.15107/rcub_vinar_11360

Fabiano N, Kadelburg Z, Mirkov NS, Radenović S. Solving fractional differential equations using fixed point results in generalized metric spaces of Perov's type. in Turkish World Mathematical Society Journal of Applied and Engineering Mathematics. 2023;13(3):880-890.
https://hdl.handle.net/21.15107/rcub_vinar_11360 .

Fabiano, Nicola, Kadelburg, Zoran, Mirkov, Nikola S., Radenović, Stojan, "Solving fractional differential equations using fixed point results in generalized metric spaces of Perov's type" in Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 13, no. 3 (2023):880-890,
https://hdl.handle.net/21.15107/rcub_vinar_11360 .

TY  - JOUR
AU  - Mirkov, Nikola S.
AU  - Fabiano, Nicola
AU  - Radenović, Stojan
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11375
AB  - In this manuscript, among other things, we put some remarks on recently established results by I. Altun et al. on a new fixed point result of Perov type and its application to a semilinear operator system, showing that they can be reduced to the known earlier results of M. Jleli and B. Samet. This follows according to the recent significant paper of J. Jachymski and J. Klima on Perov’s fixed point theorem for mappings on generalized metric spaces. Present approach, therefore, unifies fixed point results in vector valued metric spaces.
T2  - TWMS Journal of pure and applied mathematics
T1  - Critical remarks on a new fixed point result of Perov type and its application to a semilinear operator system
VL  - 14
IS  - 1
SP  - 141
EP  - 145
DO  - 10.30546/2219-1259.14.1.2023.141
ER  - 

@article{
author = "Mirkov, Nikola S. and Fabiano, Nicola and Radenović, Stojan",
year = "2023",
abstract = "In this manuscript, among other things, we put some remarks on recently established results by I. Altun et al. on a new fixed point result of Perov type and its application to a semilinear operator system, showing that they can be reduced to the known earlier results of M. Jleli and B. Samet. This follows according to the recent significant paper of J. Jachymski and J. Klima on Perov’s fixed point theorem for mappings on generalized metric spaces. Present approach, therefore, unifies fixed point results in vector valued metric spaces.",
journal = "TWMS Journal of pure and applied mathematics",
title = "Critical remarks on a new fixed point result of Perov type and its application to a semilinear operator system",
volume = "14",
number = "1",
pages = "141-145",
doi = "10.30546/2219-1259.14.1.2023.141"
}

Mirkov, N. S., Fabiano, N.,& Radenović, S.. (2023). Critical remarks on a new fixed point result of Perov type and its application to a semilinear operator system. in TWMS Journal of pure and applied mathematics, 14(1), 141-145.
https://doi.org/10.30546/2219-1259.14.1.2023.141

Mirkov NS, Fabiano N, Radenović S. Critical remarks on a new fixed point result of Perov type and its application to a semilinear operator system. in TWMS Journal of pure and applied mathematics. 2023;14(1):141-145.
doi:10.30546/2219-1259.14.1.2023.141 .

Mirkov, Nikola S., Fabiano, Nicola, Radenović, Stojan, "Critical remarks on a new fixed point result of Perov type and its application to a semilinear operator system" in TWMS Journal of pure and applied mathematics, 14, no. 1 (2023):141-145,
https://doi.org/10.30546/2219-1259.14.1.2023.141 . .

TY  - JOUR
AU  - Mitrović, Slobodanka
AU  - Fabiano, Nicola
AU  - Radojević, Slobodan
AU  - Radenović, Stojan
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11218
AB  - Since 1964, when I.A. Perov introduced the so-called generalized metric space where d(x,y) is an element of the vector space Rm, many researchers have considered various contractive conditions in this type of space. In this paper, we generalize, extend and unify some of those established results. We are primarily concerned with examining the existence of a fixed point of some mapping from X to itself, but if (x,y) belongs to some relation R on the set X, then the binary relation R and some F contraction defined on the space cone Rm are combined. We start our consideration with the recently announced results and give them strict, critical remarks. In addition, we improve several announced results by weakening some of the given conditions.
T2  - Axioms
T1  - Remarks on “Perov Fixed-Point Results on F-Contraction Mappings Equipped with Binary Relation”
VL  - 12
IS  - 6
SP  - 518
DO  - 10.3390/axioms12060518
ER  - 

@article{
author = "Mitrović, Slobodanka and Fabiano, Nicola and Radojević, Slobodan and Radenović, Stojan",
year = "2023",
abstract = "Since 1964, when I.A. Perov introduced the so-called generalized metric space where d(x,y) is an element of the vector space Rm, many researchers have considered various contractive conditions in this type of space. In this paper, we generalize, extend and unify some of those established results. We are primarily concerned with examining the existence of a fixed point of some mapping from X to itself, but if (x,y) belongs to some relation R on the set X, then the binary relation R and some F contraction defined on the space cone Rm are combined. We start our consideration with the recently announced results and give them strict, critical remarks. In addition, we improve several announced results by weakening some of the given conditions.",
journal = "Axioms",
title = "Remarks on “Perov Fixed-Point Results on F-Contraction Mappings Equipped with Binary Relation”",
volume = "12",
number = "6",
pages = "518",
doi = "10.3390/axioms12060518"
}

Mitrović, S., Fabiano, N., Radojević, S.,& Radenović, S.. (2023). Remarks on “Perov Fixed-Point Results on F-Contraction Mappings Equipped with Binary Relation”. in Axioms, 12(6), 518.
https://doi.org/10.3390/axioms12060518

Mitrović S, Fabiano N, Radojević S, Radenović S. Remarks on “Perov Fixed-Point Results on F-Contraction Mappings Equipped with Binary Relation”. in Axioms. 2023;12(6):518.
doi:10.3390/axioms12060518 .

Mitrović, Slobodanka, Fabiano, Nicola, Radojević, Slobodan, Radenović, Stojan, "Remarks on “Perov Fixed-Point Results on F-Contraction Mappings Equipped with Binary Relation”" in Axioms, 12, no. 6 (2023):518,
https://doi.org/10.3390/axioms12060518 . .

TY  - JOUR
AU  - Fabiano, Nicola
AU  - Gardašević-Filipović, Milanka
AU  - Mirkov, Nikola S.
AU  - Todorčević, Vesna
AU  - Radenović, Stojan
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10415
AB  - Kurepa’s function and his hypothesis have been investigated by means of numerical simulation. Particular emphasis has been given to the conjecture on its distribution, that should be one of a random uniform distribution, which has been verified for large numbers. A convergence function for the two has been found.
T2  - Axioms
T1  - On the Distribution of Kurepa’s Function
VL  - 11
IS  - 8
SP  - 388
DO  - 10.3390/axioms11080388
ER  - 

@article{
author = "Fabiano, Nicola and Gardašević-Filipović, Milanka and Mirkov, Nikola S. and Todorčević, Vesna and Radenović, Stojan",
year = "2022",
abstract = "Kurepa’s function and his hypothesis have been investigated by means of numerical simulation. Particular emphasis has been given to the conjecture on its distribution, that should be one of a random uniform distribution, which has been verified for large numbers. A convergence function for the two has been found.",
journal = "Axioms",
title = "On the Distribution of Kurepa’s Function",
volume = "11",
number = "8",
pages = "388",
doi = "10.3390/axioms11080388"
}

Fabiano, N., Gardašević-Filipović, M., Mirkov, N. S., Todorčević, V.,& Radenović, S.. (2022). On the Distribution of Kurepa’s Function. in Axioms, 11(8), 388.
https://doi.org/10.3390/axioms11080388

Fabiano N, Gardašević-Filipović M, Mirkov NS, Todorčević V, Radenović S. On the Distribution of Kurepa’s Function. in Axioms. 2022;11(8):388.
doi:10.3390/axioms11080388 .

Fabiano, Nicola, Gardašević-Filipović, Milanka, Mirkov, Nikola S., Todorčević, Vesna, Radenović, Stojan, "On the Distribution of Kurepa’s Function" in Axioms, 11, no. 8 (2022):388,
https://doi.org/10.3390/axioms11080388 . .

TY  - JOUR
AU  - Kalderburg, Zoran
AU  - Fabiano, Nicola
AU  - Mirkov, Nikola S.
AU  - Radenović, Stojan
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11718
AB  - The theory of ordered topological vector spaces has been treated in a great number of articles and books. On the other hand, topological vector groups were introduced and studied by D. A. Raikov [On B-complete topological vector groups, Studia Math. 31 (1968), 296-305] and P. S. Kenderov [On topological vector groups, Mat. Sb. 10 (1970), 531-546]. These are vector spaces with a topology in which addition is continuous, but multiplication by scalars is continuous only if the scalar field is taken with the discrete topology. In this paper we introduce ordered topological vector groups and investigate their structure, in particular exploring them in the case when they need not be locally convex.
T2  - Journal of nonlinear and convex analysis
T1  - On ordered topological vector groups - new results
VL  - 23
IS  - 6
SP  - 1231
EP  - 1254
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11718
ER  - 

@article{
author = "Kalderburg, Zoran and Fabiano, Nicola and Mirkov, Nikola S. and Radenović, Stojan",
year = "2022",
abstract = "The theory of ordered topological vector spaces has been treated in a great number of articles and books. On the other hand, topological vector groups were introduced and studied by D. A. Raikov [On B-complete topological vector groups, Studia Math. 31 (1968), 296-305] and P. S. Kenderov [On topological vector groups, Mat. Sb. 10 (1970), 531-546]. These are vector spaces with a topology in which addition is continuous, but multiplication by scalars is continuous only if the scalar field is taken with the discrete topology. In this paper we introduce ordered topological vector groups and investigate their structure, in particular exploring them in the case when they need not be locally convex.",
journal = "Journal of nonlinear and convex analysis",
title = "On ordered topological vector groups - new results",
volume = "23",
number = "6",
pages = "1231-1254",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11718"
}

Kalderburg, Z., Fabiano, N., Mirkov, N. S.,& Radenović, S.. (2022). On ordered topological vector groups - new results. in Journal of nonlinear and convex analysis, 23(6), 1231-1254.
https://hdl.handle.net/21.15107/rcub_vinar_11718

Kalderburg Z, Fabiano N, Mirkov NS, Radenović S. On ordered topological vector groups - new results. in Journal of nonlinear and convex analysis. 2022;23(6):1231-1254.
https://hdl.handle.net/21.15107/rcub_vinar_11718 .

Kalderburg, Zoran, Fabiano, Nicola, Mirkov, Nikola S., Radenović, Stojan, "On ordered topological vector groups - new results" in Journal of nonlinear and convex analysis, 23, no. 6 (2022):1231-1254,
https://hdl.handle.net/21.15107/rcub_vinar_11718 .

TY  - JOUR
AU  - Fabiano, Nicola
AU  - Kadelburg, Zoran
AU  - Mirkov, Nikola S.
AU  - Šešum Čavić, Vesna
AU  - Radenović, Stojan
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11719
AB  - D. Wardowski proved in 2012 a generalization of Banach Contraction Principle by introducing F-contractions in metric spaces. In the next ten years. a great number of researchers used Wardowski's approach, or some of its modifications, to obtain new fixed point results for single- and multivalued mappings in various kinds of spaces. In this review article. we present a survey of these investigations, including some improvements, in particular concerning conditions imposed on function F entering the contractive condition.
T2  - Contemporary Mathematics
T1  - On F-Contractions: A Survey
VL  - 3
IS  - 3
SP  - 327
EP  - 342
DO  - 10.37256/cm.3320221517
ER  - 

@article{
author = "Fabiano, Nicola and Kadelburg, Zoran and Mirkov, Nikola S. and Šešum Čavić, Vesna and Radenović, Stojan",
year = "2022",
abstract = "D. Wardowski proved in 2012 a generalization of Banach Contraction Principle by introducing F-contractions in metric spaces. In the next ten years. a great number of researchers used Wardowski's approach, or some of its modifications, to obtain new fixed point results for single- and multivalued mappings in various kinds of spaces. In this review article. we present a survey of these investigations, including some improvements, in particular concerning conditions imposed on function F entering the contractive condition.",
journal = "Contemporary Mathematics",
title = "On F-Contractions: A Survey",
volume = "3",
number = "3",
pages = "327-342",
doi = "10.37256/cm.3320221517"
}

Fabiano, N., Kadelburg, Z., Mirkov, N. S., Šešum Čavić, V.,& Radenović, S.. (2022). On F-Contractions: A Survey. in Contemporary Mathematics, 3(3), 327-342.
https://doi.org/10.37256/cm.3320221517

Fabiano N, Kadelburg Z, Mirkov NS, Šešum Čavić V, Radenović S. On F-Contractions: A Survey. in Contemporary Mathematics. 2022;3(3):327-342.
doi:10.37256/cm.3320221517 .

Fabiano, Nicola, Kadelburg, Zoran, Mirkov, Nikola S., Šešum Čavić, Vesna, Radenović, Stojan, "On F-Contractions: A Survey" in Contemporary Mathematics, 3, no. 3 (2022):327-342,
https://doi.org/10.37256/cm.3320221517 . .

TY  - JOUR
AU  - Stojiljković, Vuk
AU  - Fabiano, Nicola
AU  - Pantović, Mirjana
AU  - Radojević, Slobodan
AU  - Radenović, Stojan
AU  - Šešum Ćavić, Vesna
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10257
AB  - We derive some series related to the polylogarithmic function, and we also give a new proof to the existing series. Our approach is based on using the summation and integral representation methods. We obtain various interesting series as a consequence.
T2  - Axioms
T1  - Various Series Related to the Polylogarithmic Function
VL  - 11
IS  - 4
SP  - 174
DO  - 10.3390/axioms11040174
ER  - 

@article{
author = "Stojiljković, Vuk and Fabiano, Nicola and Pantović, Mirjana and Radojević, Slobodan and Radenović, Stojan and Šešum Ćavić, Vesna",
year = "2022",
abstract = "We derive some series related to the polylogarithmic function, and we also give a new proof to the existing series. Our approach is based on using the summation and integral representation methods. We obtain various interesting series as a consequence.",
journal = "Axioms",
title = "Various Series Related to the Polylogarithmic Function",
volume = "11",
number = "4",
pages = "174",
doi = "10.3390/axioms11040174"
}

Stojiljković, V., Fabiano, N., Pantović, M., Radojević, S., Radenović, S.,& Šešum Ćavić, V.. (2022). Various Series Related to the Polylogarithmic Function. in Axioms, 11(4), 174.
https://doi.org/10.3390/axioms11040174

Stojiljković V, Fabiano N, Pantović M, Radojević S, Radenović S, Šešum Ćavić V. Various Series Related to the Polylogarithmic Function. in Axioms. 2022;11(4):174.
doi:10.3390/axioms11040174 .

Stojiljković, Vuk, Fabiano, Nicola, Pantović, Mirjana, Radojević, Slobodan, Radenović, Stojan, Šešum Ćavić, Vesna, "Various Series Related to the Polylogarithmic Function" in Axioms, 11, no. 4 (2022):174,
https://doi.org/10.3390/axioms11040174 . .

TY  - JOUR
AU  - Vujaković, Jelena
AU  - Kontrec, Nataša
AU  - Tošić, Marina
AU  - Fabiano, Nicola
AU  - Radenović, Stojan
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10098
AB  - The main purpose of this paper is to improve, generalize, unify, extend and enrich the recent results established by Dung and Hang (2015), Piri and Kumam (2014, 2016), and Singh et al. (2018). In our proofs, we only use the property (F1) of Wardowski’s F-contraction, while the many authors in their papers still use all tree properties of F-contraction as well as two new properties introduced by Piri and Kumam. Our approach in this paper indicates that for most results with F-contraction, property (F1) is sufficient. It is interesting to investigate whether (F1) is sufficient in the case of multi-valued mappings.
T2  - Mathematics
T1  - New Results on F-Contractions in Complete Metric Spaces
VL  - 10
IS  - 1
SP  - 12
DO  - 10.3390/math10010012
ER  - 

@article{
author = "Vujaković, Jelena and Kontrec, Nataša and Tošić, Marina and Fabiano, Nicola and Radenović, Stojan",
year = "2022",
abstract = "The main purpose of this paper is to improve, generalize, unify, extend and enrich the recent results established by Dung and Hang (2015), Piri and Kumam (2014, 2016), and Singh et al. (2018). In our proofs, we only use the property (F1) of Wardowski’s F-contraction, while the many authors in their papers still use all tree properties of F-contraction as well as two new properties introduced by Piri and Kumam. Our approach in this paper indicates that for most results with F-contraction, property (F1) is sufficient. It is interesting to investigate whether (F1) is sufficient in the case of multi-valued mappings.",
journal = "Mathematics",
title = "New Results on F-Contractions in Complete Metric Spaces",
volume = "10",
number = "1",
pages = "12",
doi = "10.3390/math10010012"
}

Vujaković, J., Kontrec, N., Tošić, M., Fabiano, N.,& Radenović, S.. (2022). New Results on F-Contractions in Complete Metric Spaces. in Mathematics, 10(1), 12.
https://doi.org/10.3390/math10010012

Vujaković J, Kontrec N, Tošić M, Fabiano N, Radenović S. New Results on F-Contractions in Complete Metric Spaces. in Mathematics. 2022;10(1):12.
doi:10.3390/math10010012 .

Vujaković, Jelena, Kontrec, Nataša, Tošić, Marina, Fabiano, Nicola, Radenović, Stojan, "New Results on F-Contractions in Complete Metric Spaces" in Mathematics, 10, no. 1 (2022):12,
https://doi.org/10.3390/math10010012 . .

TY  - JOUR
AU  - Radenović, Stojan
AU  - Mirkov, Nikola S.
AU  - Paunović, Ljiljana R.
PY  - 2021
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9800
AB  - Within this manuscript we generalize the two recently obtained results of O. Popescu and G. Stan, regarding the F-contractions in complete, ordinary metric space to 0-complete partial metric space and 0-complete metric-like space. As Popescu and Stan we use less conditions than D. Wardovski did in his paper from 2012, and we introduce, with the help of one of our lemmas, a new method of proving the results in fixed point theory. Requiring that the function F only be strictly increasing, we obtain for consequence new families of contractive conditions that cannot be found in the existing literature. Note that our results generalize and complement many well-known results in the fixed point theory. Also, at the end of the paper, we have stated an application of our theoretical results for solving fractional differential equations. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
T2  - Fractal and Fractional
T1  - Some new results on f-contractions in 0-complete partial metric spaces and 0-complete metric-like spaces
VL  - 5
IS  - 2
DO  - 10.3390/fractalfract5020034
ER  - 

@article{
author = "Radenović, Stojan and Mirkov, Nikola S. and Paunović, Ljiljana R.",
year = "2021",
abstract = "Within this manuscript we generalize the two recently obtained results of O. Popescu and G. Stan, regarding the F-contractions in complete, ordinary metric space to 0-complete partial metric space and 0-complete metric-like space. As Popescu and Stan we use less conditions than D. Wardovski did in his paper from 2012, and we introduce, with the help of one of our lemmas, a new method of proving the results in fixed point theory. Requiring that the function F only be strictly increasing, we obtain for consequence new families of contractive conditions that cannot be found in the existing literature. Note that our results generalize and complement many well-known results in the fixed point theory. Also, at the end of the paper, we have stated an application of our theoretical results for solving fractional differential equations. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.",
journal = "Fractal and Fractional",
title = "Some new results on f-contractions in 0-complete partial metric spaces and 0-complete metric-like spaces",
volume = "5",
number = "2",
doi = "10.3390/fractalfract5020034"
}

Radenović, S., Mirkov, N. S.,& Paunović, L. R.. (2021). Some new results on f-contractions in 0-complete partial metric spaces and 0-complete metric-like spaces. in Fractal and Fractional, 5(2).
https://doi.org/10.3390/fractalfract5020034

Radenović S, Mirkov NS, Paunović LR. Some new results on f-contractions in 0-complete partial metric spaces and 0-complete metric-like spaces. in Fractal and Fractional. 2021;5(2).
doi:10.3390/fractalfract5020034 .

Radenović, Stojan, Mirkov, Nikola S., Paunović, Ljiljana R., "Some new results on f-contractions in 0-complete partial metric spaces and 0-complete metric-like spaces" in Fractal and Fractional, 5, no. 2 (2021),
https://doi.org/10.3390/fractalfract5020034 . .

TY  - JOUR
AU  - Fabiano, Nicola
AU  - Radenović, Stojan
PY  - 2021
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9593
AB  - We consider the scaling of the Schrödinger equation in order to explicitly compute the energy density levels for a specific class of potentials. The resulting eigenvalues spectrum is compared to the heavy quarks mesons spectroscopy, showing a fair agreement with experimental data for the J/ps and, for the heavier case Y, an excellent agreement with the experimental data.
T2  - Bulletin of Natural Sciences Research
T1  - On scaling of Schrödinger equation and some results for heavy quarks mesons
VL  - 11
IS  - 1
SP  - 49
EP  - 53
DO  - 10.5937/bnsr11-31433
ER  - 

@article{
author = "Fabiano, Nicola and Radenović, Stojan",
year = "2021",
abstract = "We consider the scaling of the Schrödinger equation in order to explicitly compute the energy density levels for a specific class of potentials. The resulting eigenvalues spectrum is compared to the heavy quarks mesons spectroscopy, showing a fair agreement with experimental data for the J/ps and, for the heavier case Y, an excellent agreement with the experimental data.",
journal = "Bulletin of Natural Sciences Research",
title = "On scaling of Schrödinger equation and some results for heavy quarks mesons",
volume = "11",
number = "1",
pages = "49-53",
doi = "10.5937/bnsr11-31433"
}

Fabiano, N.,& Radenović, S.. (2021). On scaling of Schrödinger equation and some results for heavy quarks mesons. in Bulletin of Natural Sciences Research, 11(1), 49-53.
https://doi.org/10.5937/bnsr11-31433

Fabiano N, Radenović S. On scaling of Schrödinger equation and some results for heavy quarks mesons. in Bulletin of Natural Sciences Research. 2021;11(1):49-53.
doi:10.5937/bnsr11-31433 .

Fabiano, Nicola, Radenović, Stojan, "On scaling of Schrödinger equation and some results for heavy quarks mesons" in Bulletin of Natural Sciences Research, 11, no. 1 (2021):49-53,
https://doi.org/10.5937/bnsr11-31433 . .