The problem of image recovery by the metric projections in Banach spaces
type: Item
instance of: scholarly article
title: The problem of image recovery by the metric projections in Banach spaces
zbMATH Open document ID: 1263.47079
DOI: 10.1155/2013/817392
author: Yasunori Kimura
author: Kazuhide Nakajo
published in: Abstract and Applied Analysis
publication date: 2013-05-08T00:00:00Z
review text: Summary: We consider the problem of image recovery by the metric projections in a real Banach space. For a countable family of nonempty closed convex subsets, we generate an iterative sequence converging weakly to a point in the intersection of these subsets. Our convergence theorems extend the results proved by \textit{L. M. Bregman} [Sov. Math., Dokl. 6, 688--692 (1965); translation from Dokl. Akad. Nauk SSSR 162, 487--490 (1965; Zbl 0142.16804)] and \textit{G. Crombez} [J. Math. Anal. Appl. 155, No.~2, 413--419 (1991; Zbl 0752.65045)].
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 90C25
zbMATH DE Number: 6161379
Wikidata QID: Q58917533
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/817392
OpenAlex ID: W1979386261
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description: scientific article; zbMATH DE number 6161379