Viscosity iterative method for a new general system of variational inequalities in Banach spaces
Suwicha Imnang · Journal of Inequalities and Applications · 2013
In this paper, we study a new iterative method for finding a common element of the set of solutions of a new general system of variational inequalities for two different relaxed cocoercive mappings and the set of fixed points of a nonexpansive mapping in real 2-uniformly smooth and uniformly convex Banach spaces.We prove the strong convergence of the proposed iterative method without the condition of weakly sequentially continuous duality mapping.Our result improves and extends the corresponding results announced by many others.