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Subjects
90-XX Operations research, mathematical programming
90Cxx Mathematical programming
90C46 Optimality conditions, duality

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Unified duality for vector optimization problem over cones involving support functions

Surjeet Kaur Suneja, Pooja Louhan (2014)

RAIRO - Operations Research - Recherche Opérationnelle

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.

Unified global optimality conditions for smooth minimization problems with mixed variables

Vaithilingam Jeyakumar, Sivakolundu Srisatkunarajah, Nguyen Quang Huy (2008)

RAIRO - Operations Research

In this paper we establish necessary as well as sufficient conditions for a given feasible point to be a global minimizer of smooth minimization problems with mixed variables. These problems, for instance, cover box constrained smooth minimization problems and bivalent optimization problems. In particular, our results provide necessary global optimality conditions for difference convex minimization problems, whereas our sufficient conditions give easily verifiable conditions for global optimality...

Currently displaying 1 – 2 of 2

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