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.
Document type :
Journal articles
Complete list of metadatas

https://hal.univ-antilles.fr/hal-00779988
Contributor : Pamphile Isch <>
Submitted on : Tuesday, January 22, 2013 - 8:43:35 PM
Last modification on : Wednesday, July 18, 2018 - 8:11:27 PM

Identifiers

  • 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⟩

Share

Metrics

Record views

192