Research Article

Set Invariant Means and Set Fixed Point Properties

Volume: 5 Number: 1 March 17, 2022
Moslem Amini Nia *
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Communications in Advanced Mathematical Sciences Cover Communications in Advanced Mathematical Sciences
EN

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

References

  1. [1] M. Amini Nia, A. Ebadian, A. Jabbari, Set amenability for semigroups, Semigroup Forum, 95(3)(2017), 555-568.
  2. [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. [3] A. H. Clifford, Semigroups containing minimal ideals, Amer. J. Math., 70(1948), 521-526.
  4. [4] K. Deleeuw, I. Glicksberg, Applications of almost periodic comcompactications, Acta Math., 105(8) (1961), 63-97.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

March 17, 2022

Submission Date

November 13, 2021

Acceptance Date

February 14, 2022

Published in Issue

Year 2022 Volume: 5 Number: 1

DOI

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

IZ

https://izlik.org/JA56PH53CM

Cite

RIS / Bibtex
APA
Amini Nia, M. (2022). Set Invariant Means and Set Fixed Point Properties. Communications in Advanced Mathematical Sciences, 5(1), 25-34. https://doi.org/10.33434/cams.1023022
AMA
1.Amini Nia M. Set Invariant Means and Set Fixed Point Properties. Communications in Advanced Mathematical Sciences. 2022;5(1):25-34. doi:10.33434/cams.1023022
Chicago
Amini Nia, Moslem. 2022. “Set Invariant Means and Set Fixed Point Properties”. Communications in Advanced Mathematical Sciences 5 (1): 25-34. https://doi.org/10.33434/cams.1023022.
EndNote
Amini Nia M (March 1, 2022) Set Invariant Means and Set Fixed Point Properties. Communications in Advanced Mathematical Sciences 5 1 25–34.
IEEE
[1]M. Amini Nia, “Set Invariant Means and Set Fixed Point Properties”, Communications in Advanced Mathematical Sciences, vol. 5, no. 1, pp. 25–34, Mar. 2022, doi: 10.33434/cams.1023022.
ISNAD
Amini Nia, Moslem. “Set Invariant Means and Set Fixed Point Properties”. Communications in Advanced Mathematical Sciences 5/1 (March 1, 2022): 25-34. https://doi.org/10.33434/cams.1023022.
JAMA
1.Amini Nia M. Set Invariant Means and Set Fixed Point Properties. Communications in Advanced Mathematical Sciences. 2022;5:25–34.
MLA
Amini Nia, Moslem. “Set Invariant Means and Set Fixed Point Properties”. Communications in Advanced Mathematical Sciences, vol. 5, no. 1, Mar. 2022, pp. 25-34, doi:10.33434/cams.1023022.
Vancouver
1.Moslem Amini Nia. Set Invariant Means and Set Fixed Point Properties. Communications in Advanced Mathematical Sciences. 2022 Mar. 1;5(1):25-34. doi:10.33434/cams.1023022

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