2022Communications in Advanced Mathematical SciencesOpen access

Set Invariant Means and Set Fixed Point Properties

Moslem AMİNİ NİA

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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.

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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.

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Available 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.

Key concepts: Fixed-point property, Fixed point, Property (philosophy), Mathematics, Semigroup, Invariant (physics), Least fixed point, Fixed-point theorem

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