Browsing by Author "Alata, S. M."

Now showing 1 - 4 of 4
  • Thumbnail Image
    Item
    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.
  • Thumbnail Image
    Item
    Continuous Dependence for Two Implicit Kirk-Type Algorithms in General Hyperbolic Spaces
    (Hindawi Publishing Corporation, 2017-06-21) Rauf, K.; Wahab, O. T.; Alata, S. M.
    This paper aims to study extensively some results concerning continuous dependence for implicit Kirk-Mann and implicit Kirk- Ishikawa iterations. In order to equipoise the formation of these algorithms, we introduce a general hyperbolic space which is no doubt a free associate of some known hyperbolic spaces. The present results are extension of other results and they can be used in many applications.
  • Thumbnail Image
    Item
    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.
  • Thumbnail Image
    Item
    SOME RESULTS ON COMMON FIXED POINT FOR GENERALIZED f-CONTRACTION MAPPING
    (Global Journal of Mathematics, 2015-03-20) Alata, S. M.; Rauf, K.; Wahab, O. T.
    In this article, we prove some common fixed point theorems for the generalized f-contraction mapping in a complete cone metric space. Our results extend and generalized some recent results.