In this paper, we consider vector variational inequalities with set-valued mappings over countable product sets in a real Banach space setting. By employing concepts of relative pseudomonotonicity, we establish several existence results for ge-ne-ra-lized vector variational inequalities and for systems of genera-li-zed vector variational inequalities. These results strengthen previous existence results which were based on the usual monotonicity type assumptions.
(2004). Generalized vector variational inequalities over countable product of sets [journal article - articolo]. In JOURNAL OF GLOBAL OPTIMIZATION. Retrieved from http://hdl.handle.net/10446/20196
Generalized vector variational inequalities over countable product of sets
GNUDI, Adriana;ALLEVI, Elisabetta;
2004-01-01
Abstract
In this paper, we consider vector variational inequalities with set-valued mappings over countable product sets in a real Banach space setting. By employing concepts of relative pseudomonotonicity, we establish several existence results for ge-ne-ra-lized vector variational inequalities and for systems of genera-li-zed vector variational inequalities. These results strengthen previous existence results which were based on the usual monotonicity type assumptions.Pubblicazioni consigliate
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