Some critical remarks on recent results concerning F-contractions in b-metric spaces

被引：2

作者：

Younis, Mudasir ^{[1
]}

Mirkov, Nikola ^{[2
]}

Savic, Ana ^{[3
]}

Pantovic, Mirjana ^{[4
]}

Radenovic, Stojan ^{[5
]}

机构：

[1] Indian Inst Technol Kanpur, Dept Math & Stat, Kanpur, India

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

[3] Acad Tech & Art Appl Studies, Sch Elect & Comp Engn, Vojode Stepe 283, Belgrade 11010, Serbia

[4] Univ Kragujevac, Fac Sci, Dept Math & Informat, Radoja Domanov 12, Kragujevac 34000, Serbia

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

来源：

CUBO-A MATHEMATICAL JOURNAL | 2023年 / 25卷 / 01期

关键词：

F-contraction; b-common fixed point; b-metric space; (s)-complete; FIXED-POINT THEOREMS; MAPPINGS;

D O I：

10.56754/0719-0646.2501.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 structure of b-metric spaces. Our objective is to take advantage of the property (F1) instead of the four properties viz. (F1), (F2), (F3) and (F4) applied in the results of Nazam et al. ["Coincidence and common fixed point theorems for four mappings satisfying (a(s), 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 (F1) enriches, improves, and condenses the proofs of a multitude of results in the ex-isting state-of-art.

引用

页码：57 / 66

页数：10

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