COUPLED FIXED POINTS OF MONOTONE MAPPINGS IN A METRIC SPACE WITH A GRAPH

被引：5

作者：

Alfuraidan, Monther Rashed ^{[1
]}

Khamsi, Mohamed Amine ^{[2
]}

机构：

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

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

来源：

FIXED POINT THEORY | 2018年 / 19卷 / 01期

关键词：

Directed graph; coupled fixed point; mixed monotone mapping; multivalued mapping; THEOREMS; OPERATORS;

D O I：

10.24193/fpt-ro.2018.1.04

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we define the concept of mixed G-monotone mappings defined on a metric space endowed with a graph. Then we obtain sufficient conditions for the existence of coupled fixed points for such mappings when a weak contractivity type condition is satisfied.

引用

页码：33 / 43

页数：11

共 15 条

[1]

Alfuraidan M. R., 2015, J INEQ APPL, V202

[2]

[Anonymous], 1988, APPL ANAL

[3] Fixed point for set-valued mappings satisfying an implicit relation in partially ordered metric spaces [J].

Beg, Ismat ;

Butt, Asma Rashid .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) :3699-3704

[4] Fixed point theorems in partially ordered metric spaces and applications [J].

Bhaskar, T. Gnana ;

Lakshmikantham, V. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (07) :1379-1393

[5] Fixed-point theorems in partially ordered metric spaces for operators with PPF dependence [J].

Dricia, Z. ;

McRae, F. A. ;

Devi, J. Vasundhara .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (02) :641-647

[6] COUPLED FIXED-POINTS OF NONLINEAR OPERATORS WITH APPLICATIONS [J].

GUO, D ;

LAKSHMIKANTHAM, V .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1987, 11 (05) :623-632

[7] IFS on a metric space with a graph structure and extensions of the Kelisky-Rivlin theorem [J].

Gwozdz-Lukawska, Gertruda ;

Jachymski, Jacek .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 356 (02) :453-463

[8] Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations [J].

Harjani, J. ;

Sadarangani, K. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) :1188-1197

[9]

Jachymski J, 2008, P AM MATH SOC, V136, P1359

[10] MULTI-VALUED CONTRACTION MAPPINGS [J].

NADLER, SB .

PACIFIC JOURNAL OF MATHEMATICS, 1969, 30 (02) :475-&

← 1 2 →