Best approximation and fixed point theorems in hyperconvex metric spaces

被引：5

作者：

Markin, Jack T.

机构：

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 63卷 / 5-7期

关键词：

Hyperconvex space; Best approximation; Fixed point; Admissible set; Externally hyperconvex set;

D O I：

10.1016/j.na.2005.02.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop best approximation and fixed point theorems in a hyperconvex metric space for multivalued mappings F that are nonexpansive or continuous in the Hausdorff metric. The best approximation results assume either admissible or externally hyperconvex sets as the domain X or value of the mapping. The fixed point results assume either admissible, sub-admissible or externally hyperconvex sets as the domain or value of the mapping and that F(center dot) boolean AND X not equal empty set. (C) 2005 Elsevier Ltd. All rights reserved.

引用

页码：E1841 / E1846

页数：6

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