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

O. T. Wahab; I. F. Usamot; S. M. Alata; K. R.  Tijani

doi:10.46481/jnsps.2023.878

Authors

O. T. Wahab
[email protected]

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 (ONT_n) and (OET_n), respectively, to prove some fixed point theorems in waist metric spaces. We examine the existence of mappings that satisfy the conditions ONT_nand OET_n. We also prove that every semigroup of order-preserving total mappings OT_nhas 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 OT_n. Efficacy of the results was justified with some practical examples.

Dimensions

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