1 The existence theorem of a new multi-valued mapping in metric space endowed with graph

被引：0

作者：

Kheawborisut, Araya ^{[1
]}

Suantai, Suthep ^{[2
]}

Kangtunyakarn, Atid ^{[1
]}

机构：

[1] King Mongkuts Inst Technol Ladkrabang, Fac Sci, Dept Math, Bangkok 10520, Thailand

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

来源：

CARPATHIAN JOURNAL OF MATHEMATICS | 2017年 / 33卷 / 02期

关键词：

Fixed point theorems; multi-valued mapping; metric spaces; graph;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new type of multi-valued G-contraction mapping on a metric space endowed with a directed graph G and prove an existence theorem for fixed point problems in metric space endowed with a graph. Moreover, we prove fixed point theorems in partially ordered metric spaces by our main result. Some examples illustrating our main results are also present.

引用

页码：191 / 198

页数：8

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