Browsing by Author "Usman, Abdulazeez Adebayo"

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    FIXED POINT THEOREMS OF CONDENSED KANNAN-TYPE CONTRACTION IN G-METRIC SPACES
    (2025-06-30) Wahab, Olalekan Taofeek; Musa, Salaudeen Alaro; Usman, Abdulazeez Adebayo; John, Dunama; Mohammed, Ghazali Nasirudeen
    In this paper, we introduce the notion of condensed Kannan-type contraction in G-metric spaces. We establish and prove some fixed point theorems of operators satisfying the condensed Kannan-type map. To evaluate the efficacy of this condition, we de fine a new criterion, called the alpha-measure, in G-metric spaces to seamlessly assess the effectiveness and dynamicity of the condensed map. We consider some practical examples to validate and demonstrate the dominance of the condensed map over some existing Kannan-type maps in G-metric spaces. The results obtained ensure suitability for solving unique and non-unique fixed points and suggest a framework for selecting an appropriate real constant alpha in (0; 1) for studying nonlinear operators.
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    On enriched weakly contractive map in Hilbert spaces
    (International Journal of Mathematical Sciences and Optimization: Theory and Applications, 2025-10-11) Wahab, Olalekan Taofeek; Musa, Salaudeen Alaro; Usman, Abdulazeez Adebayo
    This paper introduces a class of enriched weakly contractive mappings for approximating a non-Picard average operator on a closed convex subset of Hilbert spaces. By imposing the enriched weakly mapping on the average operator, we establish and prove some results concerning convergence theorems (strong and weak), stability, and convergent rate. The validity and gen erality of the new class of enriched weakly mappings are examined with the aid of practical examples. The results harmonize and improve some recent results on enriched contractive-type mappings.