Fixed point properties, invariant means and invariant projections related to hypergroups

被引：4

作者：

Tahmasebi, Nazanin ^{[1
]}

机构：

[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 437卷 / 01期

关键词：

Hypergroup; Nonexpansive map; Weak*-normal structure; Weak* fixed point property; Common fixed point property; Invariant mean; L-INFINITY G; NONEXPANSIVE-MAPPINGS; BANACH-SPACES; SUBSPACES; CENTERS; THEOREM;

D O I：

10.1016/j.jmaa.2016.01.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let K be a hypergroup with a Haar measure. This paper consists of two themes; fixed point properties for non-expansive and affine maps. The first theme provides a condition when a non-expansive self-map on a weak (weak*) compact convex subset of several function spaces over K has a fixed point while the second theme presents some applications of common fixed point properties for affine actions of K. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：526 / 544

页数：19

共 30 条

[1] A FIXED-POINT FREE NON-EXPANSIVE MAP [J].