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
Characterizations of relatively generalized monotone maps
ALLEVI, Elisabetta;
2007-01-01
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 caseFile in questo prodotto:
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