Iterative approximation of fixed points and applications to two-point second-order boundary value problems and to machine learning

E Hacıoğlu, F Gürsoy, S Maldar, Y Atalan… - Applied Numerical …, 2021 - Elsevier
In this paper, we revisit two recently published papers on the iterative approximation of fixed
points by Kumam et al.(2019)[17] and Maniu (2020)[19] and reproduce convergence …

Some observations on generalized non-expansive mappings with an application

F Ali, J Ali, JJ Nieto - Computational and Applied Mathematics, 2020 - Springer
This study aimed at showing that the classes of generalized non-expansive mappings due to
Hardy and Rogers and the mappings satisfying Suzuki's condition (C) are independent and …

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 …

Iterative algorithms of generalized nonexpansive mappings and monotone operators with application to convex minimization problem

S Maldar - Journal of Applied Mathematics and Computing, 2022 - Springer
In this paper, we present some convergence results for various iterative algorithms built from
Hardy-Rogers type generalized nonexpansive mappings and monotone operators in Hilbert …

An iterative method and its application to stable inversion

F Gürsoy, JJA Eksteen, AR Khan, V Karakaya - Soft Computing, 2019 - Springer
In this paper, we study convergence and data dependence of SP and normal-S iterative
methods for the class of almost contraction mappings under some mild conditions. The …

A Picard-type iterative algorithm for general variational inequalities and nonexpansive mappings

F Gürsoy, M Ertürk, M Abbas - Numerical Algorithms, 2020 - Springer
In this paper, a normal S-iterative algorithm is studied and analyzed for solving a general
class of variational inequalities involving a set of fixed points of nonexpansive mappings and …

A comparative study on iterative algorithms of almost contractions in the context of convergence, stability and data dependency

E Hacıoğlu - Computational and Applied Mathematics, 2021 - Springer
In this paper, we propose a new iterative algorithm and analyze it in detail inasmuch as
convergence, stability, and data dependency for the class of almost contraction mappings …

Coincidences of nonself operators by a simpler algorithm

F Gürsoy, AR Khan, M Ertürk… - … Functional Analysis and …, 2020 - Taylor & Francis
In this article, we introduce a new class of contractive mappings and study analytical and
computational aspects of a special case of Jungck-Khan iterative algorithm generated by …

Iterative algorithms for a generalized system of mixed variational-like inclusion problems and altering points problem

M Alansari, M Akram, M Dilshad - Statistics, Optimization & Information …, 2020 - iapress.org
In this article, we introduce and study a generalized system of mixed variational-like
inclusion problems involving αβ-symmetric η-monotone mappings. We use the resolvent …

Error estimate of data dependence for discontinuous operators by new iteration process with convergence analysis

W Kumam, K Khammahawong… - … Functional Analysis and …, 2019 - Taylor & Francis
In this paper, we introduce a new discontinuous operator and investigate the existence and
uniqueness of fixed points for the operators in complete metric spaces. We also provide rate …