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

共 19 条

[11] Khamsi M. A., 2011, PURE APPL MATH, V53
[12] KKM and Ky Fan theorems in hyperconvex metric spaces
Khamsi, MA
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 204 (01) : 298 - 306
[13] Sadovskii's fixed point theorem without convexity
Khamsi, MA
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 53 (06) : 829 - 837
[14] Kuratowski C., 1930, Fund. Math., V15, P301
[15] LOPESPINTO AJB, 1980, P 6 C U DUND DUND, P244
[16] LOPESPINTO AJB, 1981, LECT NOTES MATH, V846
[17] LOPESPINTO AJB, 1979, CTR MAT FUND, V19
[18] Nussbaum R.D., 1971, Ann. Mat. Pura Appl., V89, P217, DOI 10.1007/BF02414948
[19] Sadovskii B. N., 1967, Funktsional. Anal. i Prilozhen, V1, P74, DOI DOI 10.1007/BF01076087

← 1 2 →