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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Detalles Bibliográficos
Autor principal: BENAHMED,ABDENASSER
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2007
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000200005
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Sumario: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.