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 . .