A Note on Minty Variational Inequalities and Generalized Monotonicity

Reinhard John

Discussion Paper Serie A from University of Bonn, Germany

Abstract: Some notions of generalized monotonicity for multi-valued mappings are characterized in terms of properties of the associated Minty variational inequalities. In particular, it is shown that the Minty variational inequality problem derived from a map F defined on a convex domain is solvable on any nonempty, compact, and convex subdomain if and only if F is properly quasimonotone.

Keywords: Variational inequalities; quasimonotonicity; pseudomonotonicity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 1999-05

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Persistent link: http://EconPapers.repec.org/RePEc:bon:bonsfa:596

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