Reckoning applications of Z-iteration: Data dependence and solution to a delay Caputo fractional differential equation

S Zaheer, A Chanda, HK Nashine - Nonlinear Analysis: Modelling and …, 2024 - zurnalai.vu.lt
In this study, we focus on demonstrating the stability of the three-step Z-iterative scheme
within the context of weak contraction mappings as defined by Berinde. Further, we attain …

A robust alternative to examine data dependency of fixed points of quasi-contractive operators: an efficient approach that relies on the collage theorem

F Gürsoy - Computational and Applied Mathematics, 2024 - Springer
Usurelu et al.(Int J Comput Math 98: 1049–1068, 2021) presented stability and data
dependence results for a TTP (Thakur–Thakur–Postolache) iteration algorithm associated …

Superiorization and bounded perturbation resilience of a gradient projection algorithm solving the convex minimization problem

M Ertürk, A Salkım - Optimization Letters, 2023 - Springer
In this article, we use the superiorization methodology to investigate the bounded
perturbations resilience of the gradient projection algorithm proposed in Ertürk et al.(J …

Some convergence, stability, and data dependence results for iterative method of quasi-strictly contractive mappings

R Çelİk, N ŞİMŞEK - Turkish Journal of Mathematics, 2022 - journals.tubitak.gov.tr
In a recent paper, Yu et al. obtained convergence and stability results of the $ K^{\ast} $
iterative method for quasi-strictly contractive mappings [An iteration process for a general …

Fixed Point Results for Generalized Non-linear Operators with Convergence Analysis

RP Bhokal, M Kumar, A Kumar - … Research Journal of …, 2023 - archive.sdpublishers.com
The purpose of this research article is to introduce a new iteration scheme and to prove J-
iterationconvergence and stability results for it. We also claim the newly introduced iterative …

On Berinde's method for comparing iterative processes

C Zălinescu - Fixed Point Theory and Algorithms for Sciences and …, 2021 - Springer
In the literature there are several methods for comparing two convergent iterative processes
for the same problem. In this note we have in view mostly the one introduced by Berinde in …

On Berinde's method for comparing iterative processes

Z Constantin - Fixed Point Theory and Algorithms for Sciences …, 2021 - search.proquest.com
In the literature there are several methods for comparing two convergent iterative processes
for the same problem. In this note we have in view mostly the one introduced by Berinde in …

Some Results on an Iterative Algorithm Associated with Enriched Contractions in Banach Spaces

AK Çopur - Necmettin Erbakan Üniversitesi Fen ve Mühendislik … - dergipark.org.tr
In this study, the Picard-S algorithm, which is generated by the average mapping classes
defined by the enriched contractions in Banach spaces, is considered. Using these mapping …

[PDF][PDF] Fixed Point Results for a New Three Step Iterative Process

A Panwar, RP Bhokal - meerayan.com
Aim of present paper is to study some features like convergence, stability and data
dependency of a newly introduced iterative process for a class of nonlinear mapping …