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 …

Fixed point approximation of Suzuki generalized nonexpansive mappings via new faster iteration process

N Hussain, K Ullah, M Arshad - arXiv preprint arXiv:1802.09888, 2018 - arxiv.org
In this paper we propose a new iteration process, called the K iteration process, for
approximation of fixed points. We show that our iteration process is faster than the existing …

[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 …

Approximation of fixed point and its application to fractional differential equation

S Khatoon, I Uddin, D Baleanu - Journal of Applied Mathematics and …, 2021 - Springer
In this study, we prove some convergence results for generalized α α-Reich–Suzuki non-
expansive mappings via a fast iterative scheme. We validate our result by constructing a …

[PDF][PDF] A new iterative method for solving split feasibility problem

C Garodia, I Uddin - J. Appl. Anal. Comput, 2020 - jaac-online.com
In this paper, we construct a new iterative algorithm and show that the newly introduced
iterative algorithm converges faster than a number of existing iterative algorithms for …

[PDF][PDF] A new fixed point algorithm for finding the solution of a delay differential equation

C Garodia, I Uddin - Aims Mathematics, 2020 - researchgate.net
In this paper, we construct a new iterative algorithm and show that the newly introduced
iterative algorithm converges faster than a number of existing iterative algorithms. We …

[HTML][HTML] A new three-step fixed point iteration scheme with strong convergence and applications

P Sharma, H Ramos, R Behl, V Kanwar - Journal of Computational and …, 2023 - Elsevier
This work proposes a new three-step iteration scheme to approximate the fixed points of a
contractive like mapping. Further, the stability and strong convergence of the proposed …

[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 …

[HTML][HTML] Stability data dependency and errors estimation for a general iteration method

A Hussain, D Ali, E Karapinar - Alexandria Engineering Journal, 2021 - Elsevier
In this paper, we present a result of stability, data Dependency and errors estimation for D
Iteration Method. We also prove that errors in D iterative process is controllable. Especially …

Some New Results on Convergence, Weak w2-Stability and Data Dependence of Two Multivalued Almost Contractive Mappings in Hyperbolic Spaces

AE Ofem, JA Abuchu, R George, GC Ugwunnadi… - Mathematics, 2022 - mdpi.com
In this article, we introduce a new mixed-type iterative algorithm for approximation of
common fixed points of two multivalued almost contractive mappings and two multivalued …