A strong convergence theorem for total asymptotically pseudocontractive mappings in Hilbert spaces
type: Item
instance of: scholarly article
title: A strong convergence theorem for total asymptotically pseudocontractive mappings in Hilbert spaces
zbMATH Open document ID: 1386.47007
DOI: 10.1155/2012/127851
author: Chuan Ding
author: J. Quan
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: Summary: A demiclosedness principle for total asymptotically pseudocontractive mappings in Hilbert spaces is established. The strong convergence to a fixed point of total asymptotically pseudocontraction in Hilbert spaces is obtained based on demiclosedness principle, metric projective operator, and hybrid iterative method. The main results presented in this paper extend and improve the corresponding results of \textit{H.-Y. Zhou} [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 9, 3140--3145 (2009; Zbl 1207.47052)], \textit{X.-L. Qin} et al. [Fixed Point Theory Appl. 2011, Article ID 859795, 11 p. (2011; Zbl 1215.47081)] and of many other authors.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6116333
zbMATH Keywords: strong convergence
zbMATH Keywords: demiclosedness principle
zbMATH Keywords: hybrid iterative method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/127851
OpenAlex ID: W1971585424
Wikidata QID: Q58694881
cites work: Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings
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cites work: A weak convergence theorem for total asymptotically pseudocontractive mappings in Hilbert spaces
cites work: Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
description: scientific article; zbMATH DE number 6116333