Approximating a solution of an equilibrium problem by Viscosity iteration involving a nonexpansive semigroup
Author
Choudhury, Binayak
Kundu, Subhajit
Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/129410.4067/S0719-06462013000300002
Abstract
In this paper we have defined a new iteration in order to solve an equilibrium problem in Hilbert spaces. The iteration we have introduced is a viscosity type iteration and involves a semigroup of nonexpansive operators. We have established that depending on some control conditions, our iteration strongly converges to a solution of the equilibrium problem.