FIXED POINT THEOREMS IN THE GENERALIZED RA-TIONAL TYPE OF C-CLASS FUNCTIONS IN B-METRIC SPACES WITH APPLICATION TO INTEGRAL EQUA-TION

被引：3
|
作者：
Asadi, Mehdi [1 ]
Afshar, Mehdi [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Zanjan Branch, Zanjan, Iran
来源：
3C EMPRESA | 2022年 / 11卷 / 02期
关键词：
Metric space; fixed point; C-function;
D O I：
10.17993/3cemp.2022.110250
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
In this paper, we study some results of existence and uniqueness of fixed points for a C-class of mappings satisfying an inequality of rational type in b-metric spaces. After definition of C-class functions covering a large class of contractive conditions by Ansari [2]. Our results extend very recent results in the literature; as well as Khan in [14] and later Fisher in [9] gave a revised improved version of Khan's result and Piri in [17] a new generalization of Khan's Theorem. At the end, we present an example of finding solutions for an integral equation.
引用
收藏
页码：64 / 74
页数：11
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