A Note on Minty Variational Inequalities and Generalized Monotonicity [chapter]

Reinhard John
2001 Lecture notes in economics and mathematical systems  
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.
doi:10.1007/978-3-642-56645-5_17 fatcat:iiyo4dwrinc4zfa5p6qrgljbdi