Set Invariant Means and Set Fixed Point Properties
Moslem AMİNİ NİA
Abstract
Open-access reader
Moslem AMİNİ NİA
Abstract
Open-access reader
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.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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