The contraction principle for mappings on a modular metric space with a graph

被引：4

作者：

Alfuraidan, Monther Rashed ^{[1
]}

机构：

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

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

关键词：

Delta(2)-condition; fixed point; modular metric spaces; contraction mapping; connected graph; FIXED-POINT THEOREMS;

D O I：

10.1186/s13663-015-0296-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a generalization of the Banach contraction principle on a modular metric space endowed with a graph. The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. This paper can be seen as the modular metric version of Jachymski's fixed point result for mappings on a metric space with a graph.

引用

页码：1 / 10

页数：10

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