Fixed Points for Chatterjea Contractions on a Metric Space with a Graph

被引：0

作者：

Fallahi, Kamal ^{[1
]}

Aghanians, Aris ^{[1
]}

机构：

[1] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2016年 / 7卷 / 02期

关键词：

G-Chatterjea mapping; fixed point; orbitally G-continuous mapping;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we formulate Chatterjea contractions using graphs in metric spaces endowed with a graph and investigate the existence of fixed points for such mappings under two different hypotheses. We also discuss the uniqueness of the fixed point. The given result here is a generalization of Chatterjea's fixed point theorem from metric spaces to metric spaces endowed with a graph.

引用

页码：49 / 58

页数：10

共 8 条

[1] The contraction principle for set valued mappings on a metric space with a graph [J].