On Duality Theorems for Nonsmooth Lipschitz Optimization Problems

M. H. Kim and G. M. Lee

Journal of Optimization Theory and Applications, 2001, vol. 110, issue 3, No 10, 669-675

Abstract: Abstract A nonsmooth Lipschitz vector optimization problem (VP) is considered. Using the Fritz John type necessary optimality conditions for (VP), we formulate the Mond–Weir dual problem (VD) and establish duality theorems for (VP) and (VD) under (strict) pseudoinvexity assumptions on the functions. Our duality theorems do not require a constraint qualification.

Keywords: Nonsmooth Lipschitz vector optimization problems; Fritz John type necessary optimization conditions; duality theorems (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (2)

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DOI: 10.1023/A:1017596530143

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