Sadovskii's fixed point theorem without convexity

被引：8

作者：

Khamsi, MA ^{[1
]}

机构：

[1] Univ Texas, Dept Math Sci, El Paso, TX 79968 USA

[2] Kuwait Univ, Dept Math, Safat 13060, Kuwait

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 53卷 / 06期

关键词：

measure of noncompactness; condensing mappings; nonexpansive mappings; hyperconvex; fixed point;

D O I：

10.1016/S0362-546X(03)00038-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The abstract formulation of. kirks fixed point theorem. by Penot played a major role in developing fixed point theorems in nonconvex setting. In this work, we similarly give an abstract formulation. to Sadovskii's fixed point theorem using convexity structures. As an example, we discuss these new ideas in the hyperconvex metric setting. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：829 / 837

页数：9

共 15 条

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