VISCOSITY APPROXIMATION METHODS WITH A SEQUENCE OF CONTRACTIONS

The aim of this paper is to prove that, in an appropriate setting, every iterative sequence generated by the viscosity approximation method with a sequence of contractions is convergent whenever so is every iterative sequence generated by the Halpern type iterative method. Then, using our results, w...

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Detalles Bibliográficos
Autores principales:	Aoyama,Koji, Kimura,Yasunori
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2014
Materias:	Viscosity approximation method nonexpansive mapping fixed point hybrid steepest descent method
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000100002
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spelling	oai:scielo:S0719-064620140001000022018-10-08VISCOSITY APPROXIMATION METHODS WITH A SEQUENCE OF CONTRACTIONSAoyama,KojiKimura,Yasunori Viscosity approximation method nonexpansive mapping fixed point hybrid steepest descent method The aim of this paper is to prove that, in an appropriate setting, every iterative sequence generated by the viscosity approximation method with a sequence of contractions is convergent whenever so is every iterative sequence generated by the Halpern type iterative method. Then, using our results, we show some convergence theorems for variational inequality problems, zero point problems, and fixed point problems.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.16 n.1 20142014-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000100002en10.4067/S0719-06462014000100002
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Viscosity approximation method nonexpansive mapping fixed point hybrid steepest descent method
spellingShingle	Viscosity approximation method nonexpansive mapping fixed point hybrid steepest descent method Aoyama,Koji Kimura,Yasunori VISCOSITY APPROXIMATION METHODS WITH A SEQUENCE OF CONTRACTIONS
description	The aim of this paper is to prove that, in an appropriate setting, every iterative sequence generated by the viscosity approximation method with a sequence of contractions is convergent whenever so is every iterative sequence generated by the Halpern type iterative method. Then, using our results, we show some convergence theorems for variational inequality problems, zero point problems, and fixed point problems.
author	Aoyama,Koji Kimura,Yasunori
author_facet	Aoyama,Koji Kimura,Yasunori
author_sort	Aoyama,Koji
title	VISCOSITY APPROXIMATION METHODS WITH A SEQUENCE OF CONTRACTIONS
title_short	VISCOSITY APPROXIMATION METHODS WITH A SEQUENCE OF CONTRACTIONS
title_full	VISCOSITY APPROXIMATION METHODS WITH A SEQUENCE OF CONTRACTIONS
title_fullStr	VISCOSITY APPROXIMATION METHODS WITH A SEQUENCE OF CONTRACTIONS
title_full_unstemmed	VISCOSITY APPROXIMATION METHODS WITH A SEQUENCE OF CONTRACTIONS
title_sort	viscosity approximation methods with a sequence of contractions
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2014
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000100002
work_keys_str_mv	AT aoyamakoji viscosityapproximationmethodswithasequenceofcontractions AT kimurayasunori viscosityapproximationmethodswithasequenceofcontractions
_version_	1714206786659024896

VISCOSITY APPROXIMATION METHODS WITH A SEQUENCE OF CONTRACTIONS

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