CARISTI FIXED POINT THEOREM IN METRIC SPACES WITH A GRAPH AND ITS APPLICATIONS

被引：0

作者：

Sridarat, Phikul ^{[1
]}

Suantai, Suthep ^{[1
]}

机构：

[1] Chiang Mai Univ, Dept Math, Fac Sci, Chiang Mai 50200, Thailand

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2016年 / 17卷 / 07期

关键词：

Caristi fixed point theorem; w-distance; coupled fixed point theorem; partially ordered set; graph; MAPPINGS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to generalize Caristi's fixed point theorem in metric space with a directed graph and w-distance. We discuss Caristi's fixed point theorem for mappings defined on a complete metric space endowed with a directed graph and w-distance and we apply our main result to obtain coupled fixed point theorems in a complete metric space endowed with a directed graph and in a partially ordered complete metric space.

引用

页码：1417 / 1428

页数：12

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