FIXED POINT AND WELL-POSEDNESS PROPERTIES OF UNIFORMLY LOCALLY CONTRACTIVE MAPPINGS

被引：0

作者：

Reich, Simon ^{[1
]}

Zaslavski, Alexander J. ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2023年 / 24卷 / 12期

基金：

以色列科学基金会;

关键词：

Complete metric space; fixed point; inexact iterate; nonexpansive mapping; APPROXIMATION; CONVERGENCE; SET;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a 1961 paper by E. Rakotch it was shown that a uniformly locally contractive mapping on a complete metric space has a fixed point. In a recent paper of ours we have shown that for such a mapping, the fixed point problem is well posed and that inexact iterates of such a mapping converge to its unique fixed point, uniformly on bounded sets. In the present paper we extend these results to uniformly locally contractive nonself mappings defined on a closed subset of the complete metric space.

引用

页码：2543 / 2550

页数：8

共 31 条

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