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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Universidad Católica del Norte, Departamento de Matemáticas
2007
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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 |
_version_ |
1718439753211183104 |