Set Invariant Means and Set Fixed Point Properties

Year 2022, Volume: 5 Issue: 1, 25 - 34, 17.03.2022

Moslem Amini Nia

https://doi.org/10.33434/cams.1023022

Abstract

In this paper, we introduce a concept of fixed point property for a semigroup $S$ called $A$-fixed point property, where $A$ is a non-empty subset of $S$. Also, the relationship between $A$-amenability and $A$-fixed point property is investigated.

Keywords

A-amenability , A-fixed point , semigroup

References

• [1] M. Amini Nia, A. Ebadian, A. Jabbari, Set amenability for semigroups, Semigroup Forum, 95(3)(2017), 555-568.
• [2] A.T-M. Lau, W. Takahashi, Invariant means and fixed point properties for nonexpansive representations of topological semigroups, Topol. Methods Nonlinear Anal., 5(1995), 39-57.
• [3] A. H. Clifford, Semigroups containing minimal ideals, Amer. J. Math., 70(1948), 521-526.
• [4] K. Deleeuw, I. Glicksberg, Applications of almost periodic comcompactications, Acta Math., 105(8) (1961), 63-97.