Lagrangian conditions for vector optimization in Banach spaces

Joydeep Dutta and Christiane Tammer ()

Mathematical Methods of Operations Research, 2006, vol. 64, issue 3, 540 pages

Abstract: We consider vector optimization problems on Banach spaces without convexity assumptions. Under the assumption that the objective function is locally Lipschitz we derive Lagrangian necessary conditions on the basis of Mordukhovich subdifferential and the approximate subdifferential by Ioffe using a non-convex scalarization scheme. Finally, we apply the results for deriving necessary conditions for weakly efficient solutions of non-convex location problems. Copyright Springer-Verlag 2006

Keywords: Non-convex vector optimization; Lagrangian conditions; Mordukhovich subdifferential; Ioffe subdifferential (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s00186-006-0079-z

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