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http://dx.doi.org/10.4134/BKMS.2016.53.1.039

SEMI-ASYMPTOTIC NON-EXPANSIVE ACTIONS OF SEMI-TOPOLOGICAL SEMIGROUPS  

Amini, Massoud (Department of Mathematics Faculty of Mathematical Sciences Tarbiat Modares University)
Medghalchi, Alireza (Faculty of Mathematical Sciences and Computer Kharazmi University)
Naderi, Fouad (Department of Mathematics Faculty of Mathematical Sciences Tarbiat Modares University)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.1, 2016 , pp. 39-48 More about this Journal
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 semi-groups 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;
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