On monotone Ciric quasi-contraction mappings with a graph

被引:6
作者
Alfuraidan, Monther Rashed [1 ]
机构
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
关键词
fixed point; modular metric space; monotone mappings; quasi-contraction; directed graph; PARTIALLY ORDERED SETS; EQUATIONS; PRINCIPLE;
D O I
10.1186/s13663-015-0341-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we obtain sufficient conditions for the existence of fixed points for monotone quasi-contraction mappings in metric and modular metric spaces endowed with a graph. This is the extension of Ran and Reurings and Jachymski fixed point theorems for monotone contraction mappings in partially ordered metric spaces and in metric spaces endowed with a graph to the case of quasi-contraction mappings introduced by Ciric.
引用
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页数:11
相关论文
共 11 条
[1]  
Bachar M, PREPRINT
[2]  
Banach S., 1922, Fund. math, V3, P133, DOI [10.4064/fm-3-1-133-181, DOI 10.4064/FM-3-1-133-181]
[3]   Modular metric spaces, II: Application to superposition operators [J].
Chistyakov, Vyacheslav V. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (01) :15-30
[4]   Modular metric spaces, I: Basic concepts [J].
Chistyakov, Vyacheslav V. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (01) :1-14
[5]   GENERALIZATION OF BANACHS CONTRACTION PRINCIPLE [J].
CIRIC, LB .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 45 (02) :267-273
[6]  
Jachymski J, 2008, P AM MATH SOC, V136, P1359
[7]  
Khamsi Mohamed A, 2011, An introduction to metric spaces and fixed point theory
[8]  
Kozlowski W. M., 1988, SERIES MONOGRAPHS TX, V122
[9]   Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations [J].
Nieto, JJ ;
Rodríguez-López, R .
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2005, 22 (03) :223-239
[10]   A fixed point theorem in partially ordered sets and some applications to matrix equations [J].
Ran, ACM ;
Reurings, MCB .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (05) :1435-1443