Tools
Tools
Tanino, T. (1985). Consideration on Supremum in a Multidimensional Space and Conjugate Duality in Multiobjective Optimization. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-85-081
Preview |
Text
WP-85-081.pdf Download (642kB) | Preview |
Abstract
The first part of this paper is devoted to consideration on the definition of "supremum" in a multi-dimensional Euclidean space. A desirable definition is looked for among several possible alternatives. In the second part conjugate duality in multiobjective optimization is developed. Supremum is defined in the extended multi-dimensional Euclidean space on the basis of consideration in the first part. Some useful concepts such as conjugate maps and subgradients are introduced for vector-valued set-valued maps. Finally a strong duality result for a multiobjective optimization problem is proved under a regularity condition.
| Item Type: | Monograph (IIASA Working Paper) |
|---|---|
| Research Programs: | System and Decision Sciences - Core (SDS) |
| Depositing User: | IIASA Import |
| Date Deposited: | 15 Jan 2016 01:55 |
| Last Modified: | 27 Aug 2021 17:12 |
| URI: | https://pure.iiasa.ac.at/2622 |
Actions (login required)
 |
View Item |