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Generalized Vector Variational Inequalities over Countable Product of Sets |
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| Authors: | E Allevi A Gnudi and IV Konnov |
| Institution: | (1) Department of Mathematics, Statistics, Computer Science and Applications, Bergamo University, Piazza Rosate, 2, Bergamo, 24129, Italy;(2) Department of Applied Mathematics, Kazan University, ul, Kremlevskaya, 18, Kazan, 420008, and Informatics Problems Institute AS RT, Kazan 420012, Russia |
| 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 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 |
| Keywords: | Countable product of sets Existence results Relative pseudomonotonicity Set-valued break mappings Vector variational inequalities |
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