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.
@article{1294,
title = {Approximating a solution of an equilibrium problem by Viscosity iteration involving a nonexpansive semigroup},
journal = {CUBO, A Mathematical Journal},
volume = {15},
year = {2013},
language = {en},
url = {http://dml.mathdoc.fr/item/1294}
}
Choudhury, Binayak; Kundu, Subhajit. Approximating a solution of an equilibrium problem by Viscosity iteration involving a nonexpansive semigroup. CUBO, A Mathematical Journal, Tome 15 (2013) . http://gdmltest.u-ga.fr/item/1294/