Characterization of Amenability in Non-Expansive Dynamical Systems by the Schauder Fixed Point Property

Authors

  • Amna Kalsoom Department of Mathematics & Statistics, International Islamic University, Islamabad, 44000, Pakistan
  • Sana Siddique Department of Computer Science, National University of Modern Languages, Rawalpindi, Pakistan
  • Maliha Rashid Department of Mathematics & Statistics, International Islamic University, Islamabad, 44000, Pakistan

DOI:

https://doi.org/10.52280/s3ehrt82

Keywords:

Dynamical system, Semitopological semigroups, Schauder fixed point prop erty, Amenability

Abstract

 In the following manuscript, we are addressing the question:“Which amenability property of dynamical system is characterized by the Schauder  fixed point property (Sfpp)?”. We have first introduced the property FC and  then we provided suitable answers to this problem for the respective class  ELA (extremely left amenable) of semitopological semigroups by developing a relation between properties FC  , FE  and Sfpp.

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Published

2025-12-23

Issue

Vol. 57 No. 8 (2025): PUJM

Section

Articles

License

Copyright (c) 2025 Amna Kalsoom, Sana Siddique, Maliha Rashid

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Characterization of Amenability in Non-Expansive Dynamical Systems by the Schauder Fixed Point Property. (2025). Punjab University Journal of Mathematics, 57(8), 841-852. https://doi.org/10.52280/s3ehrt82