Strong Duality for Proper Efficiency in Vector Optimization

P. H. Sach, D. S. Kim and G. M. Lee
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P. H. Sach: Institute of Mathematics
D. S. Kim: Pukyong National University
G. M. Lee: Pukyong National University

Journal of Optimization Theory and Applications, 2006, vol. 130, issue 1, No 9, 139-151

Abstract: 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.

Keywords: Multiobjective programs; properly efficient points; duality (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s10957-006-9094-8

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