COMMON FIXED POINT THEOREMS FOR NONEXPANSIVE MAPPINGS USING THE LOWER SEMICONTINUITY PROPERTY

被引：0

作者：

Borzdynski, Slawomir ^{[1
]}

机构：

[1] Marie Curie Sklodowska Univ, Inst Math, PL-20031 Lublin, Poland

来源：

COLLOQUIUM MATHEMATICUM | 2018年 / 154卷 / 02期

关键词：

nonexpansive mapping; fixed point;

D O I：

10.4064/cm7216-5-2017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose that E is a Banach space, tau a topology under which the norm of E becomes tau-lower semicontinuous and S a commuting family of tau-continuous nonexpansive mappings defined on a tau-compact convex subset C of E. It is shown that the set of common fixed points of S is a nonempty nonexpansive retract of C. Along the way, a few other related fixed point theorems are derived.

引用

页码：157 / 165

页数：9

共 13 条

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