Approximating a solution of an equilibrium problem by Viscosity iteration involving a nonexpansive semigroup

In this paper we have defined a new iteration in order to solve an equilibrium problem in Hilbert spaces. The iteration we have introduced is a viscosity type iteration and involves a semigroup of nonexpansive operators. We have established that depending on some control conditions, our iteration st...

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Autores principales:	Choudhury,Binayak S, Kundu,Subhajit
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2013
Materias:	Equilibrium problem Nonexpansive semigroup Viscosity iteration Fixed point Weak convergence Hilbert space
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000300002
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spelling	oai:scielo:S0719-064620130003000022018-10-08Approximating a solution of an equilibrium problem by Viscosity iteration involving a nonexpansive semigroupChoudhury,Binayak SKundu,Subhajit Equilibrium problem Nonexpansive semigroup Viscosity iteration Fixed point Weak convergence Hilbert space In this paper we have defined a new iteration in order to solve an equilibrium problem in Hilbert spaces. The iteration we have introduced is a viscosity type iteration and involves a semigroup of nonexpansive operators. We have established that depending on some control conditions, our iteration strongly converges to a solution of the equilibrium problem.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.15 n.3 20132013-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000300002en10.4067/S0719-06462013000300002
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Equilibrium problem Nonexpansive semigroup Viscosity iteration Fixed point Weak convergence Hilbert space
spellingShingle	Equilibrium problem Nonexpansive semigroup Viscosity iteration Fixed point Weak convergence Hilbert space Choudhury,Binayak S Kundu,Subhajit Approximating a solution of an equilibrium problem by Viscosity iteration involving a nonexpansive semigroup
description	In this paper we have defined a new iteration in order to solve an equilibrium problem in Hilbert spaces. The iteration we have introduced is a viscosity type iteration and involves a semigroup of nonexpansive operators. We have established that depending on some control conditions, our iteration strongly converges to a solution of the equilibrium problem.
author	Choudhury,Binayak S Kundu,Subhajit
author_facet	Choudhury,Binayak S Kundu,Subhajit
author_sort	Choudhury,Binayak S
title	Approximating a solution of an equilibrium problem by Viscosity iteration involving a nonexpansive semigroup
title_short	Approximating a solution of an equilibrium problem by Viscosity iteration involving a nonexpansive semigroup
title_full	Approximating a solution of an equilibrium problem by Viscosity iteration involving a nonexpansive semigroup
title_fullStr	Approximating a solution of an equilibrium problem by Viscosity iteration involving a nonexpansive semigroup
title_full_unstemmed	Approximating a solution of an equilibrium problem by Viscosity iteration involving a nonexpansive semigroup
title_sort	approximating a solution of an equilibrium problem by viscosity iteration involving a nonexpansive semigroup
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2013
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000300002
work_keys_str_mv	AT choudhurybinayaks approximatingasolutionofanequilibriumproblembyviscosityiterationinvolvinganonexpansivesemigroup AT kundusubhajit approximatingasolutionofanequilibriumproblembyviscosityiterationinvolvinganonexpansivesemigroup
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Approximating a solution of an equilibrium problem by Viscosity iteration involving a nonexpansive semigroup

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