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Sufficient Conditions in the Vector-Valued Maximin Problems

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Multiple Criteria Decision Making

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 448))

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Abstract

Constructive sufficient conditions for existence of Slater maximin in strictly convex (by uncertainty) multicriteria problems without restrictions are introduced.

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References

  1. Elster K. (ed.): Introduction into Nonlinear Programming. Nauka, Moscow 1985 (in Russian).

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  6. Tanaka, T.: Types of Minimax Theorems for Vector-Valued Function. JOTA 68 (1991) 321–334.

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  7. Zhukovskiy, V.I., V.S. Molostvov: Multicriterion Optimization of Systems in Conditions of Incomplete Information. MNIIPU, Moscow 1990 (in Russian).

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  8. Zhukovskiy, V.I, M.E. Salukvadze: Multicriteria Control Problems in Conditions of Uncertainty. Metsniereba, Tbilisi 1991 (in Russian).

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  9. Zhukovskiy, V.I., M.E. Salukvadze: The Vector-Valued Maximin. Academic Press, New York 1993.

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Author information

Authors and Affiliations

  1. Institute of Control Systems of Georgian Academy of Sciences, 34, K. Gamsakhurdia Ave., 380060, Tbilisi, Georgia, USA

    Mindia E. Salukvadze & Vladislav I. Zhukovskiy

Authors
  1. Mindia E. Salukvadze
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  2. Vladislav I. Zhukovskiy
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Editor information

Editors and Affiliations

  1. Fernuniversität Hagen, Fachbereich Wirtschaftswissenschaft, Feithstrasse l40/AVZ II, D-58097, Hagen, Germany

    Günter Fandel

  2. Thomas Hanne Fernuniversität Hagen Fachbereich Wirtschaftswissenschaft, Fach Operations Research und Wirtschaftsmathematik, Lütkenheider Strasse 2, D-58084, Hagen, Germany

    Tomas Gal

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© 1997 Springer-Verlag Berlin Heidelberg

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Salukvadze, M.E., Zhukovskiy, V.I. (1997). Sufficient Conditions in the Vector-Valued Maximin Problems. In: Fandel, G., Gal, T. (eds) Multiple Criteria Decision Making. Lecture Notes in Economics and Mathematical Systems, vol 448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59132-7_9

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  • DOI: https://doi.org/10.1007/978-3-642-59132-7_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62097-6

  • Online ISBN: 978-3-642-59132-7

  • eBook Packages: Springer Book Archive

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