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Quaisidifferentials in Kantorovich Spaces

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Abstract

This is an overview of the quasidifferential calculus for the mappings that arrive at Kantorovich spaces. The necessary optimality conditions are derived also for multiple criteria optimization problems with quasidifferentiable data.

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Acknowledgments

The authors are grateful to Alexander Ioffe for his deep and inspiring remarks that helped to improve presentation.

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Authors and Affiliations

  1. Southern Mathematical Institute, Vladikavkaz Scientific Center of the RAS, Markus Street, 22, Vladikavkaz, Russia, 362027

    Elena K. Basaeva & Anatoly G. Kusraev

  2. Sobolev Institute of Mathematics, Siberian Division of the RAS, Koptyug Avenue, 4, Novosibirsk, Russia, 630090

    Semen S. Kutateladze

Authors
  1. Elena K. Basaeva
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  2. Anatoly G. Kusraev
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  3. Semen S. Kutateladze
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Corresponding author

Correspondence to Semen S. Kutateladze.

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Communicated by Alexander Ioffe.

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Basaeva, E.K., Kusraev, A.G. & Kutateladze, S.S. Quaisidifferentials in Kantorovich Spaces. J Optim Theory Appl 171, 365–383 (2016). https://doi.org/10.1007/s10957-016-0899-9

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  • DOI: https://doi.org/10.1007/s10957-016-0899-9

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