| Issue |
RAIRO-Oper. Res.
Volume 48, Number 3, July-September 2014
|
|
|---|---|---|
| Page(s) | 271 - 302 | |
| DOI | https://doi.org/10.1051/ro/2013059 | |
| Published online | 21 March 2014 | |
Unified duality for vector optimization problem over cones involving support functions
1 Department of Mathematics, Miranda House, University of
Delhi, Delhi - 110 007, India.
surjeetsuneja@gmail.com
2 Department of Mathematics, University of Delhi, Delhi - 110 007, India.
poojalouhan@gmail.com.
Received:
5
May
2013
Accepted:
3
December
2013
In this paper we give necessary and sufficient optimality conditions for a vector optimization problem over cones involving support functions in objective as well as constraints, using cone-convex and other related functions. We also associate a unified dual to the primal problem and establish weak, strong and converse duality results. A number of previously studied problems appear as special cases.
Mathematics Subject Classification: 90C29 / 90C46 / 90C25 / 90C26
Key words: Vector optimization / cones / support function / optimality / duality
© EDP Sciences, ROADEF, SMAI, 2014
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