Strong Convergence of the Halpern Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Spaces

Abstract Building upon the subgradient extragradient method proposed by Censor et al., we prove the strong convergence of the iterative sequence generated by a modification of this method by means of the Halpern method. We also consider the problem of finding a common element of the solution set of...
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Autor*in:	Kraikaew, Rapeepan [verfasserIn] Saejung, Satit

Format:	Artikel
Sprache:	Englisch

Erschienen:	2013

Schlagwörter:	Subgradient extragradient method Halpern method Variational inequality Quasi-nonexpansive mapping Fixed point

Systematik:	SA 6420 SA 6420

Anmerkung:	© Springer Science+Business Media New York 2013

Übergeordnetes Werk:	Enthalten in: Journal of optimization theory and applications - Springer US, 1967, 163(2013), 2 vom: 13. Dez., Seite 399-412
Übergeordnetes Werk:	volume:163 ; year:2013 ; number:2 ; day:13 ; month:12 ; pages:399-412

Links:	Volltext

DOI / URN:	10.1007/s10957-013-0494-2

Katalog-ID:	OLC2026497575

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author	Kraikaew, Rapeepan
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title_sort	strong convergence of the halpern subgradient extragradient method for solving variational inequalities in hilbert spaces
title_auth	Strong Convergence of the Halpern Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Spaces
abstract	Abstract Building upon the subgradient extragradient method proposed by Censor et al., we prove the strong convergence of the iterative sequence generated by a modification of this method by means of the Halpern method. We also consider the problem of finding a common element of the solution set of a variational inequality and the fixed-point set of a quasi-nonexpansive mapping with a demiclosedness property. © Springer Science+Business Media New York 2013
abstractGer	Abstract Building upon the subgradient extragradient method proposed by Censor et al., we prove the strong convergence of the iterative sequence generated by a modification of this method by means of the Halpern method. We also consider the problem of finding a common element of the solution set of a variational inequality and the fixed-point set of a quasi-nonexpansive mapping with a demiclosedness property. © Springer Science+Business Media New York 2013
abstract_unstemmed	Abstract Building upon the subgradient extragradient method proposed by Censor et al., we prove the strong convergence of the iterative sequence generated by a modification of this method by means of the Halpern method. We also consider the problem of finding a common element of the solution set of a variational inequality and the fixed-point set of a quasi-nonexpansive mapping with a demiclosedness property. © Springer Science+Business Media New York 2013
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title_short	Strong Convergence of the Halpern Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Spaces
url	https://doi.org/10.1007/s10957-013-0494-2
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author2	Saejung, Satit
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doi_str	10.1007/s10957-013-0494-2
up_date	2024-07-04T04:06:12.806Z
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Strong Convergence of the Halpern Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Spaces

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