Strong convergence theorems for a generalized mixed equilibrium problem and variational inequality problems
Jae Ug Jeong · Fixed Point Theory and Applications · 2013
In this paper, a new iterative scheme based on the extragradient-like method for finding a common element of the set of common fixed points of a finite family of nonexpansive mappings, the set of solutions of variational inequalities for a strongly positive linear bounded operator and the set of solutions of a mixed equilibrium problem is proposed.A strong convergence theorem for this iterative scheme in Hilbert spaces is established.Our results extend recent results announced by many others.