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 map**s via a fast iterative scheme. We validate our result by constructing a …

Stability and convergence of F iterative scheme with an application to the fractional differential equation

J Ali, M Jubair, F Ali - Engineering with Computers, 2020 - Springer
In this paper, we prove that F iterative scheme is almost stable for weak contractions.
Further, we prove convergence results for weak contractions as well as for generalized non …

On constrained minimization, variational inequality and split feasibility problem via new iteration scheme in Banach spaces

C Garodia, I Uddin, D Baleanu - Bulletin of the Iranian Mathematical …, 2022 - Springer
The motive of this paper is to propose a new iterative algorithm for evaluating a solution of
constrained minimization problem, variational inequality and split feasibility problem and …

A modified proximal point algorithm for a nearly asymptotically quasi-nonexpansive map** with an application

S Khatoon, I Uddin, M Basarir - Computational and Applied Mathematics, 2021 - Springer
In this paper, we introduce a new modified proximal point algorithm based on M-iteration to
approximate a common element of the set of solutions of convex minimization problems and …

Approximating Fixed Points of Nonexpansive Type Map**s via General Picard–Mann Algorithm

R Shukla, R Panicker - Computation, 2022 - mdpi.com
The aim of this paper is to approximate fixed points of nonexpansive type map**s in
Banach spaces when the set of fixed points is nonempty. We study the general Picard–Mann …

On a Faster Iterative Method for Solving Fractional Delay Differential Equations in Banach Spaces

JA Ugboh, J Oboyi, MO Udo, HA Nabwey, AE Ofem… - Fractal and …, 2024 - mdpi.com
In this paper, we consider a faster iterative method for approximating the fixed points of
generalized α-nonexpansive map**s. We prove several weak and strong convergence …

CONVERGENCE THEOREMS FOR SP-ITERATION SCHEME IN A ORDERED HYPERBOLIC METRIC SPACE

S Aggarwal, I Uddin, S Mujahid - … Functional Analysis and …, 2021 - nfaa.kyungnam.ac.kr
In this paper, we study the∆− convergence and strong convergence of SP-iteration scheme
involving a nonexpansive map** in partially ordered hyperbolic metric spaces. Also, we …

A faster iterative method for solving nonlinear third-order BVPs based on Green's function

GA Okeke, AE Ofem, H Işık - Boundary Value Problems, 2022 - Springer
In this article, we propose an iterative method, called the GA iterative method, to
approximate the fixed points of generalized α-nonexpansive map**s in uniformly convex …

A new modified fixed-point iteration process

C Garodia, AAN Abdou, I Uddin - Mathematics, 2021 - mdpi.com
In this paper, we present a new modified iteration process in the setting of uniformly convex
Banach space. The newly obtained iteration process can be used to approximate a common …

Approximating fixed points and the solution of a nonlinear fractional difference equation via an iterative method

FA Khan - Journal of Mathematics, 2022 - Wiley Online Library
The main intent of this article is to innovate a new iterative method to approximate fixed
points of contraction and nonexpansive map**s. We prove that the new iterative method is …