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Unified duality for vector optimization problem over conesinvolving 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 vectoroptimization problem over cones involving support functions in objective as well asconstraints, using cone-convex and other related functions. We also associate a unifieddual to the primal problem and establish weak, strong and converse duality results. Anumber 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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