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



  • 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


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


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.


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How to Cite

Wahab, O. T., Usamot, I. F., Alata, S. M., & Tijani, K. R. . (2022). On Nonexpansive and Expansive Semigroup of Order-Preserving Total Mappings in Waist Metric Spaces. Journal of the Nigerian Society of Physical Sciences, 5(1), 878. https://doi.org/10.46481/jnsps.2023.878



Original Research