Abstract:
In this paper, we introduce two regularization methods, based on the Browder–Tikhonov and iterative regularizations, for finding a solution of variational inequalities over the set of common fixed points of an infinite family of nonexpansive mappings on real reflexive and strictly convex Banach spaces with a uniformly Gateaux differentiate norm.
Key words:Regularization, nonexpansive mapping, fixed point, variational inequality.