Equilibrium problems with generalized monotone bifunctions and applications to variational inequalities (Q1584022)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Equilibrium problems with generalized monotone bifunctions and applications to variational inequalities |
scientific article; zbMATH DE number 1523630
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equilibrium problems with generalized monotone bifunctions and applications to variational inequalities |
scientific article; zbMATH DE number 1523630 |
Statements
Equilibrium problems with generalized monotone bifunctions and applications to variational inequalities (English)
0 references
30 October 2000
0 references
This paper considers the existence of equilibrium points or 4 classes of problems: minimization, saddle point, variational inequalities, and complementarity. It gives a very general sufficient condition, based on the Fan Lemma, for the existence of an equilibrium point. The paper then shows how this existence result can be applied to the 4 classes of problems. These results greatly generalize those of Schaible (1998).
0 references
equilibrium
0 references
monotonicity
0 references
variational inequalities
0 references
existence of equilibrium points
0 references
minimization
0 references
saddle point
0 references
complementarity
0 references
0 references
