On vector valued variational problems (Q2928899)
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: On vector valued variational problems |
scientific article; zbMATH DE number 6367778
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On vector valued variational problems |
scientific article; zbMATH DE number 6367778 |
Statements
10 November 2014
0 references
vector-valued variational problem
0 references
second-order duality
0 references
mixed type second-order duality
0 references
second-order generalized invexity
0 references
multiobjective nonlinear programming problem
0 references
0 references
0 references
0.94890386
0 references
0.9446691
0 references
0.9319546
0 references
0.92981756
0 references
On vector valued variational problems (English)
0 references
The authors present Mond-Weir-type second-order duality for a class of vector-valued variational problems in the presence of equality and inequality constraints. In order to relax the second-order invexity requirements on the functions that constitute this pair of second-order dual multiobjective variational problems, under the generalized second-order invexity, various second-order duality results are derived for this pair of multiobjective variational problems. Further, a mixed type second-order duality for this class of multiobjective variational problems is also given. Finally, a relationship between the presented duality results and those of nonlinear multiobjective programming problems is outlined through the pair of second-order multiobjective variational problems with natural boundary values.
0 references
