On Nonexpansive and Expansive Semigroup of Order-Preserving Total Mappings in Waist Metric Spaces

Authors

  • O. T. Wahab
    Department of Mathematics and Statistics, Kwara State University, Malete, Nigeria
    https://orcid.org/0000-0002-5732-3930
  • I. F. Usamot
    Department of Mathematics, University of Ilorin, Ilorin, Nigeria
  • S. M. Alata
    Department of Computer Science, College of Arabic and Islamic Legal Studies, Ilorin, Nigeria
  • K. R. Tijani
    Department of Mathematical Sciences, Osun State University, Osogbo, Nigeria

Keywords:

Fixed point, semitopological semigroup, order-preserving total mappings, waist metric space, nonexpansive map

Abstract

In this paper, we introduce nonexpansive and expansive semigroup of order-preserving total mappings (ONTn) and (OETn), respectively, to prove some fixed point theorems in waist metric spaces. We examine the existence of mappings that satisfy the conditions ONTn and OETn. We also prove that every semigroup of order-preserving total mappings OTn has fixed point properties and that the set of fixed points is closed and convex. The present study generalised many previous results on semigroup of order-preserving total mappings OTn. Efficacy of the results was justified with some practical examples.

Dimensions

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Published

2022-12-22

How to Cite

On Nonexpansive and Expansive Semigroup of Order-Preserving Total Mappings in Waist Metric Spaces. (2022). Journal of the Nigerian Society of Physical Sciences, 5(1), 878. https://doi.org/10.46481/jnsps.2023.878

Issue

Volume 5, Issue 1, February 2023

Section

Original Research
Copyright & Licensing

Copyright (c) 2022 O. T. Wahab, I. F. Usamot, S. M. Alata, K. R. Tijani

Creative Commons License

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

How to Cite

On Nonexpansive and Expansive Semigroup of Order-Preserving Total Mappings in Waist Metric Spaces. (2022). Journal of the Nigerian Society of Physical Sciences, 5(1), 878. https://doi.org/10.46481/jnsps.2023.878

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