Variational sets of multivalued mappings and a unified study of optimality conditions (Q956613)
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: Variational sets of multivalued mappings and a unified study of optimality conditions |
scientific article; zbMATH DE number 5373455
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variational sets of multivalued mappings and a unified study of optimality conditions |
scientific article; zbMATH DE number 5373455 |
Statements
Variational sets of multivalued mappings and a unified study of optimality conditions (English)
0 references
25 November 2008
0 references
The authors propose two kinds of variational sets for multivalued mappings of any order and prove that this approach is advantageous for establishing optimality conditions. The application of these sets permits to get in a unified way necessary and sufficient optimality conditions both for efficiency and weak efficiency. The results include some recent ones and some applications and examples are also considered. Moreover it is interesting to observe that the imposed assumptions are relaxed and the proof simplified.
0 references
variational sets
0 references
multivalued mappings
0 references
nonsmooth vector optimization
0 references
efficiency
0 references
weak efficiency
0 references
optimality conditions
0 references
variational analysis
0 references
0 references
0 references
0 references
0 references
