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Characterizations of relatively generalized monotone maps |
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| Authors: | E Allevi A Gnudi I V Konnov S Schaible |
| Institution: | (1) Department of Quantitative Methods, Brescia University, Contrada S.Chiara, 50, Brescia, Italy;(2) Department of Mathematics, Statistics, Informatics and Applications, Bergamo University, Piazza Rosate, 2, Bergamo, 24129, Italy;(3) Department of Applied Mathematics, Kazan University, ul. Kremlevskaya,18, Kazan, 420008, Russia;(4) A.G.Anderson Graduate School of Management, University of California, Riverside, CA 92521, USA |
| Abstract: | New concepts of relative monotonicity were introduced in Konnov (Oper Res Lett 28:21–26, 2001a) which extend the usual ones. These concepts enable us to establish new existence and uniqueness results for variational inequality problems over product sets. This paper presents first-order characterizations of new (generalized) monotonicity concepts. Specialized results are obtained for the affine case. |
| Keywords: | Relatively generalized monotone maps Differentiable maps Affine maps |
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