New Versions of Some Results on Fixed Points in b-Metric Spaces

被引：6

作者：

Mitrovic, Zoran D. ^{[1
]}

Bodaghi, Abasalt ^{[2
]}

Aloqaily, Ahmad ^{[3
,4
]}

Mlaiki, Nabil ^{[3
]}

George, Reny ^{[5
]}

机构：

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

[2] Islamic Azad Univ, Dept Math, Garmsar Branch, Garmsar, Iran

[3] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia

[4] Western Sydney Univ, Sch Comp Data & Math Sci, Sydney, NSW 2150, Australia

[5] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, Al Kharj 11942, Saudi Arabia

来源：

MATHEMATICS | 2023年 / 11卷 / 05期

关键词：

iterative methods; fixed point; b-metric; Caristi theorem; orbitally continuous; k-continuous; MAPPINGS; THEOREM; JUNGCK;

D O I：

10.3390/math11051118

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main and the most important objective of this paper is to nominate some new versions of several well-known results about fixed-point theorems such as Caristi's theorem, Pant et al.'s theorem and Karapinar et al.'s theorem in the case of b-metric spaces. We use a new technique provided by Miculescu and Mihail in order to prove our theorems. Some illustrative applications and examples are given to strengthen our new findings and the main results.

引用

页数：9

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