Two algorithms for finding the projection of a point onto a nonconvex set in a normed space
type: Item
instance of: scholarly article
zbMATH Open document ID: 1274.65065
DOI: 10.7868/S0044466913030162
author: N. K. Arutyunova
author: V. I. Zabotin
publication date: 2013-07-17T00:00:00Z
Mathematics Subject Classification ID: 65D18
zbMATH DE Number: 6188982
zbMATH Keywords: projection algorithm
zbMATH Keywords: convergence
zbMATH Keywords: Lipshitz condition
zbMATH Keywords: nonconvex surface
zbMATH Keywords: normed space
MaRDI profile type: Publication
full work available at URL: s0044466913030162
OpenAlex ID: W2316869444
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title: Two algorithms for finding the projection of a point onto a nonconvex set in a normed space
published in: Zhurnal Vychislitel'noĭ Matematiki i Matematicheskoĭ Fiziki
review text: Two iteration algorithms are proposed for finding the projection of a point onto a nonconvex set in a normed space, which is given by an equation \(f(x) = 0\). For the first case, the left-hand side of this equation is supposed to satisfy the subordination condition, which generalizes the Lipshitz condition. For the second case, the continuity of the function \(f\) is supposed and an approximate algorithm of projection is constructed.
description: scientific article; zbMATH DE number 6188982