KKM mappings in metric type spaces

被引：209

作者：

Khamsi, M. A. ^{[1
,2
]}

Hussain, N. ^{[3
]}

机构：

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

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

[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 09期

关键词：

KKM property; Fixed point; Cone metric space; Admissible set; Totally bounded; Approximate fixed point property; FIXED-POINT THEOREMS; PROPERTY;

D O I：

10.1016/j.na.2010.06.084

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we discuss some recent results about KKM mappings in cone metric spaces. We also discuss the fixed point existence results of multivalued mappings defined on such metric spaces. In particular we show that most of the new results are merely copies of the classical ones and do not necessitate the underlying Banach space nor the associated cone. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：3123 / 3129

页数：7

共 17 条

[1] KKM mappings in metric spaces [J].

Amini, A ;

Fakhar, M ;

Zafarani, J .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 60 (06) :1045-1052

[2] KKM property and fixed point theorems [J].

Chang, TH ;

Yen, CL .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 203 (01) :224-235

[3] A GENERALIZATION OF TYCHONOFF FIXED POINT THEOREM [J].

FAN, K .

MATHEMATISCHE ANNALEN, 1961, 142 (03) :305-310

[4] Cone metric spaces and fixed point theorems of contractive mappings [J].

Huang Long-Guang ;

Zhang Xian .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (02) :1468-1476

[5]

Jawhari E., 1986, CONT MATH, V57, P175

[6]

Khamsi M.A., 2001, An Introduction to Metric Spaces and Fixed Point Theory

[7] KKM and Ky Fan theorems in hyperconvex metric spaces [J].

Khamsi, MA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 204 (01) :298-306

[8] FIXED-POINT THEORY IN MODULAR FUNCTION-SPACES [J].

KHAMSI, MA ;

KOZLOWSKI, WM ;

REICH, S .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1990, 14 (11) :935-953

[9] Remarks on Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings [J].

Khamsi, Mohamed A. .

FIXED POINT THEORY AND APPLICATIONS, 2010,

[10] AN APPLICATION OF THE HELLY PROPERTY TO THE PARTIALLY ORDERED SETS [J].

QUILLIOT, A .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1983, 35 (02) :185-198

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