On Nonexpansive and Expansive Semigroup of Order-Preserving Total Mappings in Waist Metric Spaces
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Date
2022-12-22
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Publisher
Nigerian Society of Physical Sciences
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. E cacy of the results was justified
with some practical examples.
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Citation
I. F. Usamot, O. T. Wahab, S. M. Alata, K. R. Tijani (2023), On Nonexpansive and Expansive Semigroup of Order-Preserving Total Mappings in Waist Metric Spaces, J. Nig. Soc. Phys. Sci. 5 (2023) 878.