New concepts of relative monotonicity were introduced in Konnov (OperResLett 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.
(2007). Characterizations of relatively generalized monotone maps [journal article - articolo]. In MATHEMATICAL METHODS OF OPERATIONS RESEARCH. Retrieved from http://hdl.handle.net/10446/21080
Characterizations of relatively generalized monotone maps
ALLEVI, Elisabetta;GNUDI, Adriana
2007-01-01
Abstract
New concepts of relative monotonicity were introduced in Konnov (OperResLett 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.File allegato/i alla scheda:
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