A hybrid iterative scheme for a general system of variational inequalities based on mixed nonlinear mappings
Suwicha Imnang · viXra · 2014
The purpose of this paper is to study the strong convergence of a hybrid iterative scheme for finding a common element of the set of a general system of variational inequalities for α-inverse- strongly monotone mapping and relaxed (c,d)- cocoercive mapping, the set of solutions of a mixed equilibrium problem and the set of common fixed points of a finite family of nonexpansive mappings in a real Hilbert space. Using the demi-closedness principle for nonexpansive mapping, we prove that the iterative sequence converges strongly to a common element of these three sets under some control conditions. Our results extend recent results announced by many others.