Results 11 to 20 of about 944,809 (221)

Ishikawa iteration process with errors for nonexpansive mappings [PDF]

International Journal of Mathematics and Mathematical Sciences, 2001
We study the construction and the convergence of the Ishikawa iterative process with errors for nonexpansive mappings in uniformly convex Banach spaces. Some recent corresponding results are generalized.
Jialin Huang
doaj   +2 more sources

Introduction of new Picard–S hybrid iteration with application and some results for nonexpansive mappings [PDF]

Arab Journal of Mathematical Sciences, 2022
Purpose – In this paper, Picard–S hybrid iterative process is defined, which is a hybrid of Picard and S-iterative process. This new iteration converges faster than all of Picard, Krasnoselskii, Mann, Ishikawa, S-iteration, Picard–Mann hybrid, Picard ...
Julee Srivastava
doaj   +1 more source

Strong Convergence Theorems for a Finite Family of Enriched Strictly Pseudocontractive Mappings and ΦT-Enriched Lipschitizian Mappings Using a New Modified Mixed-Type Ishikawa Iteration Scheme with Error

Symmetry, 2022
In this paper, we introduce two new classes of mappings known as λ-enriched strictly pseudocontractive mappings and ΦT-enriched Lipshitizian mappings in the setup of a real Banach space.
Naeem Saleem, I. K. Agwu, U. Ishtiaq, S. Radenović   +3 more
semanticscholar   +1 more source

Zenali Iteration Method For Approximating Fixed Point of A δZA - Quasi Contractive mappings

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021
This article will introduce a new iteration method called the zenali iteration method for the approximation of fixed points. We show that our iteration process is faster than the current leading iterations  like Mann, Ishikawa, oor, D- iterations, and *-
Zena Hussein Maibed, Ali Qasem Thajil
doaj   +1 more source

Existence and approximating of common best proximity points of relatively nonexpansive mappings via Ishikawa iteration method

Fixed Point Theory, 2023
. In this article, we study the existence of a common best proximity points for a finite class of cyclic relatively nonexpansive mappings in the setting of Busemann convex spaces. In this way, we extend the main results given in Eldred and Raj (2009) [A.A.
Gabeleh Moosa, Markin Jack T., Rakočevć Vladimir   +2 more
semanticscholar   +1 more source

Weak and Strong Convergence Theorems of Modified Projection-Type Ishikawa Iteration Scheme for Lipschitz α-Hemicontractive Mappings

European Journal of Mathematical Analysis, 2022
In this paper, we establish weak and strong convergence theorems of a two-step modified projection-type Ishikawa iterative scheme to the fixed point of α-hemicontractive mappings without any compactness assumption on the operator or the space.
Lmo Agwu, D. Igbokwe
semanticscholar   +1 more source

Approximating fixed points by ishikawa iterates [PDF]

Bulletin of the Australian Mathematical Society, 1989
In a uniformly convex Banach space the convergence of Ishikawa iterates to a fixed point is discussed for nonexpansive and generalised nonexpansive mappings.
Maiti, M., Ghosh, M. K.
openaire   +1 more source

Convergence and Stability of the Ishikawa Iterative Process for a class of ϕ-quasinonexpansive Mappings

African Scientific Reports, 2022
The paper analyzes the convergence of Ishikawa iteration to the fixed point of a class of '-quasinonexpansive mappings in uniformly convex Banach spaces, as well as the stability of the Ishikawa iteration used in approximating the fixed point.
F. D. Ajibade, G. Akinbo, M. O. Ajisope, M. O. Fatai   +3 more
doaj   +1 more source

ON COMPARISON OF SOLUTION OF ORDINARY DIFFERENTIAL EQUATION WITH HAAR WAVELET METHOD AND THE MODIFIED ISHIKAWA ITERATION METHOD

Journal of Science and Arts, 2022
In this study, we have used a newly modified Ishikawa iteration method and the Haar wavelet method to solve an ordinary linear differential equation with initial conditions.
Yasemin Bakır, Oya Mert, Özlem Orhan
semanticscholar   +1 more source

Approximating common fixed point via Ishikawa's iteration [PDF]

Fixed Point Theory, 2021
In a recent paper [\textit{A. A. Eldred} and \textit{A. Praveen}, Fixed Point Theory 18, No. 2, 545--554 (2017; Zbl 1489.54113)], the authors considered Mann's iterative process to approximate the fixed points and best proximity points of a relatively nonexpansive mapping, i.e., of a mapping \(G:M\cup N\to M\cup N\) which satisfies \begin{itemize ...
Gopi, R., Pragadeeswarar, V.
openaire   +2 more sources