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Set Invariant Means and Set Fixed Point Properties

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

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.
Year 2022, Volume: 5 Issue: 1, 25 - 34, 17.03.2022
https://doi.org/10.33434/cams.1023022

Abstract

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.
There are 4 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Moslem Amini Nia 0000-0001-8879-0921

Publication Date March 17, 2022
Submission Date November 13, 2021
Acceptance Date February 14, 2022
Published in Issue Year 2022 Volume: 5 Issue: 1

Cite

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

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