Set Invariant Means and Set Fixed Point Properties

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