Existence of fixed points and retractions for asymptotically nonexpansive semigroups in locally convex spaces

被引：0

作者：

Bakhande, Jafar ^{[1
]}

Saeidi, Shahram ^{[1
]}

机构：

[1] Univ Kurdistan, Dept Math, Sanandaj 416, Iran

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2019年 / 21卷 / 03期

关键词：

Amenable; semigroup action; asymptotically nonexpansive; common fixed point; retraction; NON-EXPANSIVE ACTIONS; TOPOLOGICAL SEMIGROUPS; AMENABLE SEMIGROUPS; MAPPINGS; THEOREM; SETS;

D O I：

10.1007/s11784-019-0712-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will be concerned with a problem raised by Lau (Fixed Point Theory Appl, 2010) for the existence of common fixed points for a right reversible semitopological semigroup S acting asymptotically nonexpansive on a nonempty compact convex set in the framework of locally convex spaces. We give answers to this problem under the left amenability of ARUC(S) and LMC(S) and then study the existence of Q-nonexpansive retractions in the pointwise closure of S using a new method.

引用

页数：12

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