Existence of optimal solutions to mathematical programs with equilibrium constraints (Q1105490)
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: Existence of optimal solutions to mathematical programs with equilibrium constraints |
scientific article; zbMATH DE number 4059127
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of optimal solutions to mathematical programs with equilibrium constraints |
scientific article; zbMATH DE number 4059127 |
Statements
Existence of optimal solutions to mathematical programs with equilibrium constraints (English)
0 references
1988
0 references
The main problem investigated in the paper is to minimize f(x,y) subject to \(x\in X\) and \(y\in Y(x)\), where \(f: R^{n+m}\to R\), \(X\subset R^ n\), and \(Y: X\to R\) m is a multifunction. The problem is very interesting but the paper contains trivial results only.
0 references
equilibrium constraints
0 references
bilevel programming
0 references
variational inequality
0 references
multifunction
0 references
