A FIXED POINT THEOREM FOR NONSELF NONLINEAR CONTRACTIONS IN LENGTH SPACES

被引：0

作者：

Reich, Simeon ^{[1
]}

Zaslavski, Alexander J. ^{[1
]}

机构：

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

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2024年 / 63卷 / 01期

基金：

以色列科学基金会;

关键词：

Complete metric space; contractive mapping; fixed point; nonex- pansive mapping; PROJECTION METHODS; APPROXIMATION; FEASIBILITY; CONVERGENCE;

D O I：

10.12775/TMNA.2023.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1988 N.A. Assad showed that a nonself nonlinear contraction taking a closed subset of a complete metrically convex space into the space so that the boundary of this subset is mapped back into the subset itself has a unique fixed point. In the present paper we extend this result by replacing the complete metrically convex space with a complete metric space which is a length space.

引用

页码：13 / 22

页数：10

共 28 条

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