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Author: search.filters.author.Narain, O. K.

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    On AI-iteration process for finding fixed points of enriched contraction and enriched nonexpansive mappings with application to fractional BVPs
    (SCIK Publishing Corporation, 2024) Oboyi, J.; Orim, R. E.; Ofem, A. E.; Maharaj, A.; Narain, O. K.
    In this article, we consider the AI-iteration process for approximating the fixed points of enriched contraction and enriched nonexpansive mappings. Firstly, we prove the strong convergence of the AI-iteration process to the fixed points of enriched contraction mappings. Furthermore, we present a numerical experiment to demonstrate the efficiency of the AI-iterative method over some existing methods. Secondly, we establish the weak and strong convergence results of AI-iteration method for enriched nonexpansive mappings in uniformly convex Banach spaces. Thirdly, the stability analysis results of the considered method is presented. Finally, we apply our results to the solution of fractional boundary value problems in Banach spaces
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    A new relaxed inertial Ishikawa-type algorithm for solving fixed points problems with applications to convex optimization problems
    (SCIK Publishing Corporation, 2024) Orim, R. E.; Ofem, A. E.; Maharaj, A.; Narain, O. K.
    In this research, we present a new relaxed intertial algorithm without viscosity for solving common solution of countable family of nonexpansive mappings in real Hilbert spaces. We obtain the strong convergence results of the proposed method under some wild conditions on the control parameters. Weapply our main results to solve convex bilevel optimization problems. Finally, we present a numerical example to illustrate the efficiency of our method over some existing methods in the literature.
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    A new fixed point approximation method for solving third-order BVPs based on Green's function
    (SCIK Publishing Corporation, 2024) Orim, R. E.; Udo, M. O.; Maharaj, A.; Narain, O. K.
    This study presents an interesting method based on Picard-Ishikwa fixed point iterative method to solve nonlinear third-order boundary value problems. We develop a sequence called Picrad-Ishikawa Green’s iterative