Parallel synchronous algorithm for nonlinear fixed point problems

We give in this paper a convergence result concerning parallel synchronous algorithm for nonlinear fixed point problems with respect to the Euclidian norm in ℝn. We then apply this result to some problems related to convex analysis like minimization of functionals, calculus of saddle point, and conv...

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Main Authors: Ahmed Addou, Abdenasser Benahmed
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.3175
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author Ahmed Addou
Abdenasser Benahmed
author_facet Ahmed Addou
Abdenasser Benahmed
author_sort Ahmed Addou
collection DOAJ
description We give in this paper a convergence result concerning parallel synchronous algorithm for nonlinear fixed point problems with respect to the Euclidian norm in ℝn. We then apply this result to some problems related to convex analysis like minimization of functionals, calculus of saddle point, and convex programming.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2005-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-fe66a7510d744aacbe1e012bc68543c42025-08-20T03:25:46ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005193175318310.1155/IJMMS.2005.3175Parallel synchronous algorithm for nonlinear fixed point problemsAhmed Addou0Abdenasser Benahmed1Département de Mathématiques et Informatique, Faculté des Sciences Oujda, Université Mohammed Premier Oujda, Oujda 60 000, MoroccoDépartement de Mathématiques et Informatique, Faculté des Sciences Oujda, Université Mohammed Premier Oujda, Oujda 60 000, MoroccoWe give in this paper a convergence result concerning parallel synchronous algorithm for nonlinear fixed point problems with respect to the Euclidian norm in ℝn. We then apply this result to some problems related to convex analysis like minimization of functionals, calculus of saddle point, and convex programming.http://dx.doi.org/10.1155/IJMMS.2005.3175
spellingShingle Ahmed Addou
Abdenasser Benahmed
Parallel synchronous algorithm for nonlinear fixed point problems
International Journal of Mathematics and Mathematical Sciences
title Parallel synchronous algorithm for nonlinear fixed point problems
title_full Parallel synchronous algorithm for nonlinear fixed point problems
title_fullStr Parallel synchronous algorithm for nonlinear fixed point problems
title_full_unstemmed Parallel synchronous algorithm for nonlinear fixed point problems
title_short Parallel synchronous algorithm for nonlinear fixed point problems
title_sort parallel synchronous algorithm for nonlinear fixed point problems
url http://dx.doi.org/10.1155/IJMMS.2005.3175
work_keys_str_mv AT ahmedaddou parallelsynchronousalgorithmfornonlinearfixedpointproblems
AT abdenasserbenahmed parallelsynchronousalgorithmfornonlinearfixedpointproblems