Convergence of a sequence of sets in a Hadamard space and the shrinking projection method for a real Hilbert ball
type: Item
instance of: scholarly article
title: Convergence of a sequence of sets in a Hadamard space and the shrinking projection method for a real Hilbert ball
zbMATH Open document ID: 1206.54049
DOI: 10.1155/2010/582475
author: Yasunori Kimura
published in: Abstract and Applied Analysis
publication date: 2011-02-09T00:00:00Z
full work available at URL: https://eudml.org/doc/226674
review text: Summary: We propose a new concept of set convergence in a Hadamard space and obtain its equivalent condition by using the notion of metric projections. Applying this result, we also prove a convergence theorem for an iterative scheme by the shrinking projection method in a real Hilbert ball.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 5848811
zbMATH Keywords: set convergence
zbMATH Keywords: Hadamard space
zbMATH Keywords: metric projections
zbMATH Keywords: convergence
zbMATH Keywords: iterative scheme
zbMATH Keywords: shrinking projection method
zbMATH Keywords: real Hilbert ball
MaRDI profile type: Publication
OpenAlex ID: W2083356187
Wikidata QID: Q58649879
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description: scientific article; zbMATH DE number 5848811