Data dependence for Ishikawa iteration when dealing with contractive-like operators
type: Item
instance of: scholarly article
title: Data dependence for Ishikawa iteration when dealing with contractive-like operators
zbMATH Open document ID: 1205.47059
DOI: 10.1155/2008/242916
author: Teodor Groşan
author: Ştefan M. Şoltuz
published in: Fixed Point Theory and Applications
publication date: 2008-08-15T00:00:00Z
full work available at URL: https://eudml.org/doc/45261
review text: In this paper, the authors prove a convergence result as well as a data dependence result for Ishikawa iterations when applied to contractive-like operators. Reviewer's remark: The inequality \(1-x\leq\exp(x)\) on p.\,3 is not correctly stated; it should be \(1-x\leq\exp(-x)\). This inequality relation is a very powerful tool for establishing convergence results.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 5312561
Wikidata QID: Q59218339
reviewed by: Memudu Olaposi Olatinwo
MaRDI profile type: Publication
OpenAlex ID: W2148908786
cites work: Fixed Points by a New Iteration Method
cites work: Mean Value Methods in Iteration
cites work: Fixed point theorems in metric spaces
cites work: Fixed Point Iterations Using Infinite Matrices
cites work: A Comparison of Various Definitions of Contractive Mappings
description: scientific article; zbMATH DE number 5312561