International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 19, Pages 3175-3183
doi:10.1155/IJMMS.2005.3175
Parallel synchronous algorithm for nonlinear fixed point problems
Ahmed Addou
and Abdenasser Benahmed
Département de Mathématiques et Informatique, Faculté des Sciences Oujda, Université Mohammed Premier Oujda, Oujda 60 000, Morocco
Abstract
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.