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Unified duality for vector optimization problem over cones involving support functions

Published online by Cambridge University Press:  21 March 2014

Surjeet Kaur Suneja  and
Pooja Louhan
Surjeet Kaur Suneja
Affiliation:
Department of Mathematics, Miranda House, University of Delhi, Delhi-110 007, India.. surjeetsuneja@gmail.com
Pooja Louhan
Affiliation:
Department of Mathematics, University of Delhi, Delhi-110 007, India.; poojalouhan@gmail.com.
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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.

Keywords

Vector optimizationconessupport functionoptimalityduality
Type
Research Article
Information
RAIRO - Operations Research , Volume 48 , Issue 3 , July 2014 , pp. 271 - 302
Copyright
© EDP Sciences, ROADEF, SMAI, 2014

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