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Variational inequalities and complementarity problems

Variational inequalities and complementarity problems

We shall consider variational inequalities for multivalued mappings to unify mathematical programming problems and extended fixed point problems.Let $X$ and $Y$ be two real separated topological vector spaces with a given bilinear form $\langle\cdot, \cdot\rangle$ of $Y\times X$ into the reals $R$ .Let $T$ be a multivalued mapping from its …