# Unified duality for vector optimization problem over cones involving support functions

Surjeet Kaur Suneja; Pooja Louhan

RAIRO - Operations Research - Recherche Opérationnelle (2014)

- Volume: 48, Issue: 3, page 271-302
- ISSN: 0399-0559

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topSuneja, Surjeet Kaur, and Louhan, Pooja. "Unified duality for vector optimization problem over cones involving support functions." RAIRO - Operations Research - Recherche Opérationnelle 48.3 (2014): 271-302. <http://eudml.org/doc/275072>.

@article{Suneja2014,

abstract = {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.},

author = {Suneja, Surjeet Kaur, Louhan, Pooja},

journal = {RAIRO - Operations Research - Recherche Opérationnelle},

keywords = {vector optimization; cones; support function; optimality; duality},

language = {eng},

number = {3},

pages = {271-302},

publisher = {EDP-Sciences},

title = {Unified duality for vector optimization problem over cones involving support functions},

url = {http://eudml.org/doc/275072},

volume = {48},

year = {2014},

}

TY - JOUR

AU - Suneja, Surjeet Kaur

AU - Louhan, Pooja

TI - Unified duality for vector optimization problem over cones involving support functions

JO - RAIRO - Operations Research - Recherche Opérationnelle

PY - 2014

PB - EDP-Sciences

VL - 48

IS - 3

SP - 271

EP - 302

AB - 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.

LA - eng

KW - vector optimization; cones; support function; optimality; duality

UR - http://eudml.org/doc/275072

ER -

## References

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