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

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 se...

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Bibliographic Details
Published in:Journal of Nigerian Society of Physical Sciences
Main Authors: O. T. Wahab, I. F. Usamot, S. M. Alata, K. R. Tijani
Format: Article
Language:English
Published: Nigerian Society of Physical Sciences 2022-12-01
Subjects:
Fixed point, semitopological semigroup, order-preserving total mappings, waist metric space, nonexpansive map
Online Access:https://www.journal.nsps.org.ng/index.php/jnsps/article/view/878
Description
Summary: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.
ISSN:2714-2817
2714-4704

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