A new iterative approximation scheme for Reich–Suzuki-type nonexpansive operators with an application

AE Ofem, H Işık, F Ali, J Ahmad - Journal of Inequalities and Applications, 2022 - Springer
In this article, we propose a faster iterative scheme, called the AH iterative scheme, for
approximating fixed points of contractive-like mappings and Reich–Suzuki-type …

[PDF][PDF] A solution of a nonlinear Volterra integral equation with delay via a faster iteration method

GA Okeke, AE Ofem, T Abdeljawad, MA Alqudah… - AIMS …, 2023 - aimspress.com
The purpose of this article is to study the convergence, stability and data dependence results
of an iterative method for contractive-like mappings. The concept of stability considered in …

[PDF][PDF] Approximating the solution of a nonlinear delay integral equation by an efficient iterative algorithm in hyperbolic spaces

AE Ofem, H Isik, GC Ugwunnadi, R George… - AIMS …, 2023 - aimspress.com
In this article, we propose the modified AH iteration process in Hyperbolic spaces to
approximate the fixed points of mappings enriched with condition (E). The data dependence …

On Jaggi‐Suzuki‐Type Hybrid Contraction Mappings

M Noorwali, SS Yeşilkaya - Journal of Function Spaces, 2021 - Wiley Online Library
The aim of the paper is to introduce the concept of new hybrid contractions that combine
Jaggi hybrid type contractions and Suzuki type contractions with w‐orbital admissible. We …

On a four-step iterative algorithm and its application to delay integral equations in hyperbolic spaces

AE Ofem, JA Abuchu, GC Ugwunnadi, H Işik… - Rendiconti del Circolo …, 2024 - Springer
The purpose of this article is to study A∗ iterative algorithm in hyperbolic space. We prove
the weak w 2-stability, data dependence and convergence results of the proposed iterative …

A Quicker Iteration Method for Approximating the Fixed Point of Generalized α-Reich-Suzuki Nonexpansive Mappings with Applications

D Ali, S Ali, D Pompei-Cosmin, T Antoniu… - Fractal and …, 2023 - mdpi.com
Fixed point theory is a branch of mathematics that studies solutions that remain unchanged
under a given transformation or operator, and it has numerous applications in fields such as …

Solving Fractional Volterra–Fredholm Integro-Differential Equations via A** Iteration Method

AE Ofem, A Hussain, O Joseph, MO Udo, U Ishtiaq… - Axioms, 2022 - mdpi.com
In this article, we develop a faster iteration method, called the A∗∗ iteration method, for
approximating the fixed points of almost contraction mappings and generalized α …

On Bilevel Monotone Inclusion and Variational Inequality Problems

AE Ofem, JA Abuchu, HA Nabwey, GC Ugwunnadi… - Mathematics, 2023 - mdpi.com
In this article, the problem of solving a strongly monotone variational inequality problem over
the solution set of a monotone inclusion problem in the setting of real Hilbert spaces is …

General semi-implicit midpoint approximation for fixed point of almost contraction mapping and applications

D Filali, M Akram, M Dilshad… - Applied Mathematics in …, 2024 - Taylor & Francis
The objective of this paper is to suggest and construct a general four step semi-implicit
iterative scheme involving midpoint rule. We establish and analyse the convergence of the …

Some common fixed point results for three total asymptotically pseudocontractive mappings

MO Udo, AE Ofem, J Oboyi, CF Chikwe, SE Ekoro… - The Journal of …, 2023 - Springer
In this article, we introduce a mixed-type implicit iterative scheme to approximate the
common fixed points of finite families of three uniformly L-Lipschitzian total asymptotically …