A note on coincidence points of multivalued weak G-contraction mappings

被引：3

作者：

Alfuraidan, Monther Rashed ^{[1
]}

Khamsi, Mohamed Amine ^{[2
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31216, Saudi Arabia

[2] Univ Texas El Paso, Dept Math Sci, El Paso, TX 79968 USA

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 06期

关键词：

Directed graph; coincidence points; weak G-contraction mappings; Reich multivalued mapping; THEOREMS;

D O I：

10.22436/jnsa.009.06.53

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we discuss the definition of the multivalued weak contraction mappings defined in a metric space endowed with a graph as introduced by Hanjing and Suantai[A. Hanjing, S. Suantai, Fixed Point Theory Appl., 2015 (2015), 10 pages]. In particular, we show that this definition is not correct and give the correct definition of the multivalued weak contraction mappings defined in a metric space endowed with a graph. Then we prove the existence of coincidence points for such mappings. (C) 2016 All rights reserved.

引用

页码：4098 / 4103

页数：6

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