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
收藏
页码：2891 / 2895
页数：5
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