A double-sequence iteration process for fixed points of continuous pseudocontractions
type: Item
instance of: scholarly article
title: A double-sequence iteration process for fixed points of continuous pseudocontractions
zbMATH Open document ID: 1005.47062
DOI: 10.1016/S0898-1221(02)00121-9
author: Chika Moore
publication date: 2002-08-15T00:00:00Z
review text: Let \(C\) be a bounded closed convex nonempty subset of a (real) Hilbert space \(H\). The idea of a double-sequence iteration is introduced, and it is proved that a Mann-type double-sequence iteration process converges strongly to a fixed point of a continuous pseudocontractive map \(T\) which maps \(C\) into \(C\). Related results deal with the strong convergence of the iteration process to fixed points of nonexpansive maps.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 65J15
zbMATH DE Number: 1781498
zbMATH Keywords: Mann iteration
zbMATH Keywords: strong convergence
zbMATH Keywords: double-sequence iteration
zbMATH Keywords: fixed point
zbMATH Keywords: continuous pseudocontractive map
reviewed by: Jürgen Appell
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1781498