A GENERAL ITERATIVE ALGORITHM FOR EQUILIBRIUM PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS IN A HILBERT SPACE
2010 ◽
Vol 03
(04)
◽
pp. 685-705
Keyword(s):
In this paper, we introduce a general iterative algorithm for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed points of a finite family of nonexpansive mappings and the set of solutions of the variational inequality for a relaxed cocoercive mapping in a Hilbert space. Then, we prove that the iterative sequence converges strongly to a common element of the three sets. The results obtained in this paper extend and improve the several recent results in this area.
2010 ◽
Vol 2010
◽
pp. 1-14
◽
2016 ◽
Vol 15
(1)
◽
pp. 79-96
2009 ◽
Vol 2009
◽
pp. 1-17
◽