On the convergence problems of Ishikawa and Mann iterative processes with error for \(\Phi\)-pseudo contractive type mappings
type: Item
instance of: scholarly article
title: On the convergence problems of Ishikawa and Mann iterative processes with error for \(\Phi\)-pseudo contractive type mappings
zbMATH Open document ID: 0958.47041
DOI: 10.1007/BF02458533
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2001-04-04T00:00:00Z
review text: In development of predecessors results [\textit{C. E. Chidume}, Appl. Anal. 23, 209-218 (1986; Zbl 0597.47039); \textit{S.-S. Chang} and \textit{K.-K. Tan}, Bull. Aust. Math. Soc. 57, No. 3, 433-445 (1998; Zbl 0910.47049)] the author introduces the concept of \(\Phi\)-pseudo contractive type mappings for study the approximation problems of Ishikava and Mann iterative sequences with error to fixed points of single-valued and multi-valued \(\Phi\)-pseudo contractive mappings which need not satisfy the Lipschitzian condition.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 1491066
zbMATH Keywords: \(\Phi\)-pseudo contractive type mappings
zbMATH Keywords: Ishikawa and Mann iterative processes
zbMATH Keywords: fixed points
author: Shihsen Chang
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02458533
OpenAlex ID: W1984942529
description: scientific article; zbMATH DE number 1491066