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

Abstract

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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.

How to cite

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Suneja, 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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