COMMON FIXED POINT RESULTS IN COMPLEX VALUED b-METRIC SPACES WITH APPLICATIONS

被引：0
|
作者：
Alharbi, Ebtisam salem [1 ]
Abdou, Afrah ahmad noman [1 ]
Ahmad, Jamshaid [1 ]
机构：
[1] Univ Jeddah, Coll Sci, Dept Math & Stat, POB 80327, Jeddah 21589, Saudi Arabia
来源：
JOURNAL OF MATHEMATICAL ANALYSIS | 2024年 / 15卷 / 02期
关键词：
Fixed point; complex valued b-metric space; interpolative rational contraction; integral equations; THEOREMS;
D O I：
10.54379/JMA-2024-2-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this research article is to point out some fallacies in the statements of the main results of Rao et al. [ Bull. Maths. Stat. Res ] and Berrah et al. [ AIMS Mathematics , 4(3)(2023), 1019-1033] and give a genuine contractive condition in the framework of complex valued b -metric spaces. We also introduce interpolative rational contractions in complex valued b -metric spaces and prove some fixed point results for such contractions. A non -trivial example is also provided to demonstrate the validity of obtained theorems. As an application, we investigate the existence of solutions for integral equations.
引用
收藏
页码：34 / 47
页数：14
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