Some fixed point results based on contractions of new types for extended b-metric spaces

被引：13

作者：

Shatanawi, Wasfi ^{[1
,2
]}

Shatnawi, Taqi A. M. ^{[2
]}

机构：

[1] Prince Sultan Univ, Coll Humanities & Sci, Dept Math & Sci, Riyadh 11586, Saudi Arabia

[2] Hashemite Univ, Fac Sci, Dept Math, POB 330127, Zarqa 13133, Jordan

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 05期

关键词：

fixed point; extended metric space of type (gamma-beta); extended b-metric space;

D O I：

10.3934/math.2023554

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The construction of contraction conditions plays an important role in science for formulating new findings in fixed point theories of mappings under a set of specific conditions. The aim of this work is to take advantage of the idea of extended b-metric spaces in the sense introduced by Kamran et al. [A generalization of b-metric space and some fixed point theorems, Mathematics, 5 (2017), 1-7] to construct new contraction conditions to obtain new results related to fixed points. Our results enrich and extend some known results from b-metric spaces to extended b-metric spaces. We construct some examples to show the usefulness of our results. Also, we provide some applications to support our results.

引用

页码：10929 / 10946

页数：18

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