A Note on Minty Variational Inequalities and Generalized Monotonicity

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.

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Year of publication:	1999-05
Authors:	John, Reinhard
Institutions:	University of Bonn, Germany
Subject:	Variational inequalities \| quasimonotonicity \| pseudomonotonicity

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Series:	Discussion Paper Serie A.
Type of publication:	Book / Working Paper
Classification:	C - Mathematical and Quantitative Methods
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10004968160