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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:437

Article

Tahmasebi, Nazanin¹ 

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

关键词: Hypergroup;    Nonexpansive map;    Weak*-normal structure;    Weak* fixed point property;    Common fixed point property;    Invariant mean;   

DOI  :  10.1016/j.jmaa.2016.01.012

来源: Elsevier

【 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.

【 授权许可】

Free