Coupling viscosity methods with the extragradient algorithm for solving equilibrium problems

Abstract : We make use of the viscosity technique to develop a convergent method for approximating a common element of the set of fixed points of a demicontractive operator and the set of solutions of a monotone equilibrium problem. The proposed algorithm is obtained by coupling a modified hybrid steepest descent method with the extragradient algorithm. Under mild conditions, the strong convergence of the sequences generated by the algorithm is obtained. Using this result we obtain two corollaries which improve or develop several corresponding results in this field.
Type de document :
Article dans une revue
Journal of Nonlinear and Convex Analysis, Yokohama, 2008, 9 (2), pp.283-294
Liste complète des métadonnées

https://hal.univ-antilles.fr/hal-00779988
Contributeur : Pamphile Isch <>
Soumis le : mardi 22 janvier 2013 - 20:43:35
Dernière modification le : mercredi 18 juillet 2018 - 20:11:27

Identifiants

  • HAL Id : hal-00779988, version 1

Collections

Citation

Paul-Emile Maingé, Abdellatif Moudafi. Coupling viscosity methods with the extragradient algorithm for solving equilibrium problems. Journal of Nonlinear and Convex Analysis, Yokohama, 2008, 9 (2), pp.283-294. 〈hal-00779988〉

Partager

Métriques

Consultations de la notice

167