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.
journal article - articolo
2007
Allevi, Elisabetta; Konnov, IGOR V.; Schaible, Siegfried; Gnudi, Adriana
(2007). Characterizations of relatively generalized monotone maps [journal article - articolo]. In MATHEMATICAL METHODS OF OPERATIONS RESEARCH. Retrieved from http://hdl.handle.net/10446/21080
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/21080
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