Volume 48, Number 3, July-September 2014
|Page(s)||271 - 302|
|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.
2 Department of Mathematics, University of Delhi, Delhi - 110 007, India.
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.