Fixed point theorems for generalized set-contraction maps and their applications

被引：5

作者：

Amini-Harandi, A. ^{[1
,2
]}

Fakhar, M. ^{[2
,3
]}

Zafarani, J. ^{[4
]}

机构：

[1] Univ Shahrekord, Dept Math, Shahrekord 8818634141, Iran

[2] Inst Studies Theoret Phys & Math IPM, Tehran, Iran

[3] Univ Isfahan, Dept Math, Esfahan 81745163, Iran

[4] Sheikhbahaee Univ, Dept Math, Esfahan, Iran

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 06期

关键词：

KKM PROPERTY;

D O I：

10.1016/j.na.2009.11.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new generalized set-valued contraction on topological spaces with respect to a measure of noncompactness is introduced. Two fixed point theorems for the KKM type maps which are either generalized set-contraction or condensing ones are given. Furthermore, applications of these results for existence of coincidence points and maximal elements are deduced. (C) 2009 Published by Elsevier Ltd.

引用

页码：2891 / 2895

页数：5

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