Abstract
In this paper, we derive some existence results for generalized variational inequalities associated with mappings satisfying the (S)+ condition. The relation between the (S)+ and (S) 1+ conditions is discussed. As an application, we also consider multivalued complementarity problems associated with mappings satisfying the (S)+ condition, and prove a theorem to characterize the solvability of such problems in terms of exceptional families of elements.
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Chiang, Y., Wang, RY. The (S)+ condition on generalized variational inequalities. J Glob Optim 42, 467–474 (2008). https://doi.org/10.1007/s10898-007-9259-5
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DOI: https://doi.org/10.1007/s10898-007-9259-5