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Strong Duality for Proper Efficiency in Vector Optimization
Authors:P H Sach  D S Kim  G M Lee
Institution:(1) Institute of Mathematics, Hanoi, Vietnam;(2) Department of Applied Mathematics, Pukyong National University, Pusan, Republic of Korea
Abstract:In this paper, we give counterexamples showing that the strong duality results obtained in Refs. 1–5 for several dual problems of multiobjective mathematical programs are false. We provide also the conditions under which correct results can be established.This research was supported by the Brain Korea 21 Project in 2003. The authors thank the referees for valuable remarks.
Keywords:Multiobjective programs  properly efficient points  duality
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