The Action of a Left Amenable Semi-topological Semigroup on a Weakly Compact Subset of a Banach Space with Normal Structure

Foad Naderi

doi:10.9734/BJMCS/2015/18317

Research Article Open access CC BY 4.0

The Action of a Left Amenable Semi-topological Semigroup on a Weakly Compact Subset of a Banach Space with Normal Structure

Foad Naderi

Journal of Advances in Mathematics and Computer Science · pp. 492–497 · Published 15 Jun 2015

10.9734/BJMCS/2015/18317

Abstract

Let S be left amenable semi-topological semigroup such that its weak almost periodic compactification Sw is a topological semigroup. We show that every separately continuous, non-expansive and equicontinuous action of S on a weakly compact convex subset of a Banach space with normal structure has a fixed point.

Non-expansive mapping semi-topological semigroup amenable left reversible weakly almost periodic function.

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Foad Naderi (2015). The Action of a Left Amenable Semi-topological Semigroup on a Weakly Compact Subset of a Banach Space with Normal Structure. Journal of Advances in Mathematics and Computer Science , 492–497. https://doi.org/10.9734/BJMCS/2015/18317

Affiliations

Foad Naderi — Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran 14115-134, Iran.

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