Coupling viscosity methods with the extragradient algorithm for solving equilibrium problems - Université des Antilles Access content directly
Journal Articles Journal of Nonlinear and Convex Analysis Year : 2008

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.
No file

Dates and versions

hal-00779988 , version 1 (22-01-2013)

Identifiers

  • HAL Id : hal-00779988 , version 1

Cite

Paul-Emile Maingé, Abdellatif Moudafi. Coupling viscosity methods with the extragradient algorithm for solving equilibrium problems. Journal of Nonlinear and Convex Analysis, 2008, 9 (2), pp.283-294. ⟨hal-00779988⟩
98 View
0 Download

Share

Gmail Mastodon Facebook X LinkedIn More