Remarks on "Perov Fixed-Point Results on F-Contraction Mappings Equipped with Binary Relation"

被引：0

作者：

Mitrovic, Slobodanka ^{[1
]}

Fabiano, Nicola ^{[2
]}

Radojevic, Slobodan ^{[3
]}

Radenovic, Stojan ^{[3
]}

机构：

[1] Univ Belgrade, Fac Forestry, Kneza Viseslava 1, Beograd 11030, Serbia

[2] Univ Belgrade, Vinca Inst Nucl Sci, Natl Inst Republ Serbia, Mike Petrovica Alasa 12-14, Beograd 11351, Serbia

[3] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Beograd 11120, Serbia

来源：

AXIOMS | 2023年 / 12卷 / 06期

关键词：

binary relation; vector-valued metric space; fixed point; F contraction; Perov's type mapping; THEOREMS;

D O I：

10.3390/axioms12060518

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Since 1964, when I.A. Perov introduced the so-called generalized metric space where d(x,y) is an element of the vector space R-m, 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.

引用

页数：9

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