Abstract
In this paper, we introduce a projection algorithm for finding a common element of the set Fix(T) of fixed points of a -strict pseudocontraction mapping and the set S of solutions of a multi-valued variational inequality problem without monotonicity. We show that the sequence generated by our method is globally convergent to some common element of Fix(T) and S, provided that the mapping F is continuous with nonempty compact convex values. Preliminary numerical experiments are reported.
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