AN ITERATIVE ALGORITHM FOR APPROXIMATING SOLUTIONS OF VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS IN BANACH SPACES PROBLEMS IN BANACH SPACES

M. S. MINJIBIR, O. O. OSISIOGU, U. V. NNYABA

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 convex
real Banach space is shown.

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References


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