Ishikawa iterative sequence with errors for strongly pseudocontractive operators in arbitrary Banach spaces
type: Item
instance of: scholarly article
title: Ishikawa iterative sequence with errors for strongly pseudocontractive operators in arbitrary Banach spaces
zbMATH Open document ID: 1089.47054
DOI: 10.1155/S0161171204305272
author: Yongjin Li
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2005-05-18T00:00:00Z
full work available at URL: https://eudml.org/doc/52411
review text: The author considers Ishikawa iterative sequences for the study of Lipschitzian strongly pseudocontractive operators to show that the constructed iterative sequence converges to the unique fixed point of the given Banach space, provided such a fixed point exists. The main result of this paper generalizes known results of Chidume and Zeng [while itself being a special case of Theorem 2.1 of \textit{Z.-Q. Liu, L. Zhang} and \textit{S. M. Kang}, Int. J. Math. Math. Sci. 31, No. 10, 611--617 (2002; Zbl 1026.47057) -- editor's remark].
reviewed by: P. Veeramani
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 2168725
zbMATH Keywords: Ishikawa iteration with errors
zbMATH Keywords: strong convergence
zbMATH Keywords: Lipschitzian strongly pseudocontractive operators
MaRDI profile type: Publication
OpenAlex ID: W1990938043
description: scientific article; zbMATH DE number 2168725