Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2016; 53(1): 39-48

Printed January 31, 2016

https://doi.org/10.4134/BKMS.2016.53.1.39

Copyright © The Korean Mathematical Society.

Semi-asymptotic non-expansive actions of semi-topological semigroups

Massoud Amini, Alireza Medghalchi, and Fouad Naderi

Tarbiat Modares University, Kharazmi University, Tarbiat Modares University

Abstract

In this paper we extend Takahashi's fixed point theorem on discrete semigroups to general semi-topological semigroups. Next we define the semi-asymptotic non-expansive action of semi-topological semigroups to give a partial affirmative answer to an open problem raised by A.T-M. Lau.

Keywords: non-expansive mappings, normal structure, semi-topological semigroups, amenable, left reversible

MSC numbers: Primary 22A22; Secondary 46L05