On Convex F-Contraction in b-Metric Spaces

被引：10

作者：

Huang, Huaping ^{[1
]}

Mitrovic, Zoran D. ^{[2
]}

Zoto, Kastriot ^{[3
]}

Radenovic, Stojan ^{[4
]}

机构：

[1] Chongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404020, Peoples R China

[2] Univ Banja Luka, Fac Elect Engn, Patre 5, Banja Luka 78000, Bosnia & Herceg

[3] Univ Gjirokastra, Fac Nat Sci, Dept Math & Comp Sci, Gjirokastra 6001, Albania

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

来源：

AXIOMS | 2021年 / 10卷 / 02期

关键词：

F-contraction; convex F-contraction; fixed point; b-metric space; FIXED-POINTS;

D O I：

10.3390/axioms10020071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a notion of convex F-contraction and establish some fixed point results for such contractions in b-metric spaces. Moreover, we give a supportive example to show that our convex F-contraction is quite different from the F-contraction used in the existing literature since our convex F-contraction does not necessarily contain the continuous mapping but the F-contraction contains such mapping. In addition, via some facts, we claim that our results indeed generalize and improve some previous results in the literature.

引用

页数：9

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