Abstract
This is intended as a comprehensive introduction to the duality theory for vector optimization recently developed by C. Malivert and the present author [3]. It refers to arbitrarily given classes of mappings (dual elements) and extends the general duality theory proposed for scalar optimization by E. Balder, S. Kurcyusz and the present author [1] and P. Lindberg.
partially supported by Deutscher Akademischer Austauschdienst
Visiting the Institut für Statistik und Mathematische Wirtschftstheorie, Universität Karlsuhe, Germany.
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References
Dolecki, S., Kurcyusz, S.: On Φ-convexity in extremal problems, SIAM J. Control Optim. 16 (1978), 277–300
Dolecki, S., Malivert, C.: Stability of efficient sets: continuity of mobile polarities, Nonlinear Anal. 12 (1988), 1461–1486.
Dolecki, S., Malivert, C.: General duality in vector optimization, to appear.
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© 1992 Springer-Verlag Berlin Heidelberg
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Dolecki, S. (1992). Introduction to General Duality Theory for Multi-Objective Optimization. In: Oettli, W., Pallaschke, D. (eds) Advances in Optimization. Lecture Notes in Economics and Mathematical Systems, vol 382. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51682-5_26
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DOI: https://doi.org/10.1007/978-3-642-51682-5_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55446-2
Online ISBN: 978-3-642-51682-5
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