Best approximation, coincidence and fixed point theorems for quasi-lower semicontinuous set-valued maps in hyperconvex metric spaces

被引：5

作者：

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

Farajzadeh, A. P. ^{[2
]}

机构：

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

[2] Razi Univ, Dept Math, Kermanshah 67149, Iran

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 11期

关键词：

Hyperconvex metric space; Best approximation; Quasi-lower semicontinuous map; Fixed point; Coincidence point; Weakly inward map;

D O I：

10.1016/j.na.2009.03.082

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Suppose X is a compact admissible subset of a hyperconvex metric spaces M. and suppose F : X - M is a quasi-lower semicontinuous set-valued map whose values are nonempty admissible. Suppose also G : X - X is a continuous, onto quasi-convex set-valued map with compact, admissible values. Then there exists an X-0 is an element of X such that d(G(x(0)), F(x(0))) = inf(x is an element of X) d(x, F(x(0))). As applications, we give some coincidence and fixed point results for weakly inward set-valued maps. Our results, generalize some well-known results in literature. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：5151 / 5156

页数：6

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