SOME ASPECTS OF INVARIANT MEANS IN THE SPACES OF WEAKLY ALMOST PERIODIC FUNCTIONS AND LEFT UNIFORMLY CONTINUOUS FUNCTIONS

被引：0

作者：

Kalsoom, Amna ^{[1
]}

Rashid, Maliha ^{[1
]}

Safdar, Sabeen ^{[1
]}

Sultana, Tehmina ^{[1
]}

机构：

[1] Int Islamic Univ, Dept Math & Stat, Islamabad, Pakistan

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2023年 / 53卷 / 06期

关键词：

fixed-point property; nonexpansive mappings; weakly compact convex set; left-amenable; invariant mean; FIXED-POINT PROPERTIES; SEMIGROUPS; MAPPINGS;

D O I：

10.1216/rmj.2023.53.1921

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main aim of this paper is to study fixed-point properties for semitopological semigroups (E) of nonexpansive mappings on a subset of a Banach space which is nonempty, closed and convex or, more generally, a locally convex space, and to establish the fixed-point property of the space of all left uniformly continuous functions by using its amenability for E and to establish the fixed-point property for the class of weakly almost periodic functions by using its amenability for sigma.

引用

页码：1921 / 1931

页数：11