A CONVERGENCE RESULT FOR ASYNCHRONOUS ALGORITHMS AND APPLICATIONS

A CONVERGENCE RESULT FOR ASYNCHRONOUS ALGORITHMS AND APPLICATIONS

Abstract We give in this paper a convergence result concerning parallel asynchronous algorithm with bounded delays to solve a nonlinear fixed point problems. This result is applied to calculate the solution of a strongly monotone operator. Special cases of these operators are used to solve some prob...

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Auteur principal: BENAHMED,ABDENASSER
Langue:English
Publié: Universidad Católica del Norte, Departamento de Matemáticas 2007
Sujets:
Asynchronous algorithm
nonlinear problems
monotone operators
fixed point
optimization problem
variational inequality problem
convex analysis
Accès en ligne:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000200005
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spelling oai:scielo:S0716-091720070002000052007-11-16A CONVERGENCE RESULT FOR ASYNCHRONOUS ALGORITHMS AND APPLICATIONSBENAHMED,ABDENASSER Asynchronous algorithm nonlinear problems monotone operators fixed point optimization problem variational inequality problem convex analysis Abstract We give in this paper a convergence result concerning parallel asynchronous algorithm with bounded delays to solve a nonlinear fixed point problems. This result is applied to calculate the solution of a strongly monotone operator. Special cases of these operators are used to solve some problems related to convex analysis like minimization of functionals, calculus of saddle point and variational inequality problem.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.26 n.2 20072007-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000200005en10.4067/S0716-09172007000200005
institution Scielo Chile
collection Scielo Chile
language English
topic Asynchronous algorithm
nonlinear problems
monotone operators
fixed point
optimization problem
variational inequality problem
convex analysis
spellingShingle Asynchronous algorithm
nonlinear problems
monotone operators
fixed point
optimization problem
variational inequality problem
convex analysis
BENAHMED,ABDENASSER
A CONVERGENCE RESULT FOR ASYNCHRONOUS ALGORITHMS AND APPLICATIONS
description Abstract We give in this paper a convergence result concerning parallel asynchronous algorithm with bounded delays to solve a nonlinear fixed point problems. This result is applied to calculate the solution of a strongly monotone operator. Special cases of these operators are used to solve some problems related to convex analysis like minimization of functionals, calculus of saddle point and variational inequality problem.
author BENAHMED,ABDENASSER
author_facet BENAHMED,ABDENASSER
author_sort BENAHMED,ABDENASSER
title A CONVERGENCE RESULT FOR ASYNCHRONOUS ALGORITHMS AND APPLICATIONS
title_short A CONVERGENCE RESULT FOR ASYNCHRONOUS ALGORITHMS AND APPLICATIONS
title_full A CONVERGENCE RESULT FOR ASYNCHRONOUS ALGORITHMS AND APPLICATIONS
title_fullStr A CONVERGENCE RESULT FOR ASYNCHRONOUS ALGORITHMS AND APPLICATIONS
title_full_unstemmed A CONVERGENCE RESULT FOR ASYNCHRONOUS ALGORITHMS AND APPLICATIONS
title_sort convergence result for asynchronous algorithms and applications
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2007
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000200005
work_keys_str_mv AT benahmedabdenasser aconvergenceresultforasynchronousalgorithmsandapplications
AT benahmedabdenasser convergenceresultforasynchronousalgorithmsandapplications
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