Remarks on monotone multivalued mappings on a metric space with a graph

被引：25

作者：

Alfuraidan, Monther Rashed ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

directed graph; connected/weakly connected graph; fixed point; metric space; monotone multivalued contraction mapping; Pompeiu-Hausdorff distance; FIXED-POINT THEOREMS; CONTRACTIONS;

D O I：

10.1186/s13660-015-0712-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (X, d) be a metric space and J : X -> 2(X) be a multivalued mapping. In this work, we discuss the definition of G-contraction mappings introduced by Beg et al. (Comp. Math. Appl. 60: 1214-1219, 2010) and show that it is restrictive and fails to give the main result of (Beg et al. in Comp. Math. Appl. 60: 1214-1219, 2010). In this work, we give a new definition of the G-contraction and obtain sufficient conditions for the existence of fixed points for such mappings.

引用

页数：7

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