On Existence Theorems for Monotone and Nonmonotone Variational Inequalities

Antonino Maugeri; Fabio Raciti

Abstract

We make a comparison among various existence theorems for monotone and nonmonotone variational inequalities and give necessary conditions for the solvability of the variational inequality problem.

Author information

Contact details are reproduced from the original publication and may be historical.

Antonino Maugeri

Dip. di Matematica e Informatica, Università di Catania, Viale A. Doria 6-I, 95125 Catania, Italy

maugeri@dmi.unict.it

Fabio Raciti

Dip. di Matematica e Informatica, Università di Catania, Viale A. Doria 6-I, 95125 Catania, Italy

fraciti@dmi.unict.it

Keywords

Brezis-pseudomonotonicity
Karamardian-pseudomonotonicity
Fan-hemicontinuity
hemicontinuity along line segments
coercivity

Mathematics Subject Classification

47H05, 52A41,39B82

Suggested citation

A. Maugeri, F. Raciti. “On Existence Theorems for Monotone and Nonmonotone Variational Inequalities.” Journal of Convex Analysis 16 (2009), No. 3&4, 899–911.