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We consider the variational inequality problem for afamily of operators of a nonempty closed convex subset of a 2-uniformly convex Banach space with a uniformly Gâteaux differentiable norm, into its dual space. We assume some properties for the operators and get strong convergence to a common solution to the variational inequality problem by the hybridmethod proposed by Haugazeau. Using these results, we obtain several resultsfor the variational inequality problem and the proximal point algorithm

Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces