Browsing by Author "Hussain, Aftab"
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Article Citation - WoS: 12Citation - Scopus: 11Efficient Fixed-Point Iteration for Generalized Nonexpansive Mappings and Its Stability in Banach Spaces(de Gruyter Poland Sp Z O O, 2022) Karapinar, Erdal; Hussain, Aftab; Cholamjiak, Prasit; Ali, DanishThe aim of this article is to design a new iteration process for solving certain fixed-point problems. In particular, we prove weak and strong convergence theorems for generalized nonexpansive mappings in the framework of uniformly convex Banach spaces. In addition, we discuss the stability of the solution under mild conditions. Further, we provide some numerical examples to indicate that the proposed method works properly.Article Citation - WoS: 25Citation - Scopus: 25Stability Data Dependency and Errors Estimation for a General Iteration Method(Elsevier, 2021) Ali, Danish; Karapinar, Erdal; Hussain, AftabIn 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 stability, data dependence, controllability, error accumulation of such iterative methods are being studied. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.Article Citation - WoS: 15Citation - Scopus: 18A Study of Symmetric Contractions With an Application To Generalized Fractional Differential Equations(Springer, 2021) Karapinar, Erdal; Hussain, Aftab; Jarad, FahdThis article proposes four distinct kinds of symmetric contraction in the framework of complete F-metric spaces. We examine the condition to guarantee the existence and uniqueness of a fixed point for these contractions. As an application, we look for the solutions to fractional boundary value problems involving a generalized fractional derivative known as the fractional derivative with respect to another function.Correction A Study of Symmetric Contractions With an Application To Generalized Fractional Differential Equations (Vol 2021, 300, 2021)(Springer, 2021) Hussain, Aftab; Jarad, Fahd; Karapinar, Erdal
