In this paper, we consider vector variational inequalities with set-valued mappings over product sets in a topological vector space setting. By employing concepts of relative pseudomonotonicity, we establish several existence results for generalized vector variational inequalities and for systems of generalized vector variational inequalities. These results strengthen previous existence results which were based on the usual monotonicity type assumptions.
Generalized vector variational inequalities over product sets
ALLEVI, Elisabetta;
2001-01-01
Abstract
In this paper, we consider vector variational inequalities with set-valued mappings over product sets in a topological vector space setting. By employing concepts of relative pseudomonotonicity, we establish several existence results for generalized vector variational inequalities and for systems of generalized vector variational inequalities. These results strengthen previous existence results which were based on the usual monotonicity type assumptions.File in questo prodotto:
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