Order-preserving transformations and applications (Q1422857)
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: Order-preserving transformations and applications |
scientific article; zbMATH DE number 2041229
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Order-preserving transformations and applications |
scientific article; zbMATH DE number 2041229 |
Statements
Order-preserving transformations and applications (English)
0 references
12 February 2004
0 references
The paper considers properties of efficient sets of vector optimization (or multi-objective optimization) problems. Linear transformations of ordering cones (for ordering efficient solutions) are considered with special emphasis on studying their effects on the order relations. Sufficient conditions for preserving a given order are derived as well as some calculus rules for subdifferentials of convex vector-valued functions. The paper is concluded by some optimality conditions for weak efficiency.
0 references
partial orders
0 references
efficient points
0 references
generalized convex functions
0 references
subdifferentials
0 references
