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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Paper provided by University of Bonn, Germany in its series Discussion Paper Serie A with number
596.
Length: pages Date of creation: May 1999 Date of revision: Handle: RePEc:bon:bonsfa:596
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