AN ITERATIVE ALGORITHM FOR APPROXIMATING SOLUTIONS OF VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS IN BANACH SPACES PROBLEMS IN BANACH SPACES
Abstract
In this paper, an iterative algorithm for approximating a common element of the set of xed points of a relatively nonexpansive map and the set of solutions of variational inequality problem involving a monotone and Lipschitz continuous map is constructed. Strong convergence of the given iterative sequence in a uniformly smooth and 2-uniformly convexreal Banach space is shown.
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