Browsing by Author "Tijani, K. R."

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    Common Coupled Fixed Point Theorems without Compatibility in Partially Ordered Metric Spaces
    (International Journal of Mathematical Sciences and Optimization: Theory and Applications, 2022-06-30) Tijani, K. R.; Wahab, O. T.; Usamot, I. F.; Alata, S. M.
    A perfect blend of requirements for the proof of common coupled fixed point theorems in partially ordered metric space without the assumptions of (weak) compatibility is accomplished. Previous attempts in this direction involving these assumptions mostly ensure existence of coupled coincidence points. In many existing works in this area, attempt have been made to prove the existence of common coupled fixed points. However, only identity mappings can satisfy the conditions of the theorems. The method of proof presented in this present work is powerful in view of the fact that it guarantees the existence of common coupled fixed points without the imposition of (weak) compatibility conditions and identity mappings. To illustrate the results, an example is provided.
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    On Nonexpansive and Expansive Semigroup of Order-Preserving Total Mappings in Waist Metric Spaces
    (Nigerian Society of Physical Sciences, 2022-12-22) Usamot, I. F.; Wahab, O. T.; Alata, S. M.; Tijani, K. R.
    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.