The existence theorem for a solution of a system of integral equations along with cyclical common fixed point technique

被引：0

作者：

Yamaod, Oratai ^{[1
]}

Sintunavarat, Wutiphol ^{[1
]}

机构：

[1] Thammasat Univ, Rangsit Ctr, Dept Math & Stat, Fac Sci & Technol, Pathum Thani 12121, Thailand

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2017年 / 19卷 / 02期

关键词：

b-metric spaces; Common fixed points; Cyclic contraction mappings; Integral equations; WEAKLY CONTRACTIVE MAPS; B-METRIC SPACES; MAPPINGS;

D O I：

10.1007/s11784-017-0406-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the concept of generalized cyclic contraction pairs in b-metric spaces. We establish some fixed point results on b-metric spaces and also give some examples to illustrate the main results. As applications, we show the existence of a common solution for the following system of integral equations: where with , (the set of all continuous real value functions defined on ) and are mappings.

引用

页码：1535 / 1549

页数：15

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