Results 1 to 10 of about 638 (110)
Classical Results via Mann-Ishikawa Iteration
Revue d'analyse numérique et de théorie de l'approximation, 2007 New proofs of existence and uniqueness results for the solution of the Cauchy problem with delay are obtained by use of Mann-Ishikawa iteration.
Diana Otrocol, Stefan M Soltuz
exaly +4 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
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
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 +3 more
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Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators
Fixed Point Theory and Applications, 2006 The purpose of this paper is to show that the Mann iteration converges faster than the Ishikawa iteration for the class of Zamfirescu operators of an arbitrary closed convex subset of a Banach space.
Vara Prasad KNVV, Babu GVR
doaj +4 more sources
Some Convergence Theorems for the Fixed Point in Banach Spaces [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2014 Let X be a uniformly smooth Banach space, T:X X be -strongly quasi accretive (-hemi contractive) mappings. It is shown under suitable conditions that the Ishikawa iteration sequence converges strongly to the unique solution of the equation Tx = f ...
Zena Hussein Mabeed
doaj +1 more source
Journal of Inequalities and Applications, 2019 In this paper, some new formula of error estimations of Ishikawa iteration and some strong convergence theorems of strongly demicontractive mappings are first obtained.
Chao Wang, Xueli Li, Pengkun Huang
doaj +1 more source
The Fixed Point Property of Strong Pseudocontraction Mapping
Journal of Harbin University of Science and Technology, 2020 In this paper, the iterative methods of fixed point of strong pseudocontraction mappings and accretive operators are studied in Banach spaces. A new threestep Ishikawa iteration is given.
CUI Yunan, ZHU Peng, WANG Ping
doaj +1 more source
Fixed point theorems in uniformly convex Banach spaces
Ratio Mathematica, 2023 In this article, we establish a concept of fixed point result in Uniformly convex Banach space. Our main finding uses the Ishikawa iteration technique in uniformly convex Banach space to demonstrate strong convergence.
Manoj Karuppasamy, R. Jahir Hussain
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Implicit Ishikawa Approximation Methods for Nonexpansive Semigroups in CAT(0) Spaces
Abstract and Applied Analysis, 2013 This paper is devoted to the convergence of the implicit Ishikawa iteration processes for approximating a common fixed point of nonexpansive semigroup in CAT(0) spaces.
Zhi-bin Liu +3 more
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