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  - 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 . .