SFB 303 Discussion Paper No. A - 596

Author: John, Reinhard
Title: A Note on Minty Variational Inequalities and Generalized Monotonicity
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
JEL-Classification-Number: C 60
Creation-Date: May 1999
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