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Abstract

A scalar minimax characterization of the solutions of a convex vectorial optimization problem is established. As consequences, duality results are given in terms of ɛ-supernormality and semidistance on dual generated by a certain Minkowsky functional.

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© 1992 Springer Basel AG

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Precupanu, T. (1992). Scalar Minimax Properties in Vectorial Optimization. In: Barbu, V., Tiba, D., Bonnans, J.F. (eds) Optimization, Optimal Control and Partial Differential Equations. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 107. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8625-3_27

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  • DOI: https://doi.org/10.1007/978-3-0348-8625-3_27

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9704-4

  • Online ISBN: 978-3-0348-8625-3

  • eBook Packages: Springer Book Archive

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