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.
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页码：1535 / 1549
页数：15
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