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Bernstein–Doetsch Type Theorems with Tabor Type Error Terms for Set-Valued Maps

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Abstract

In this paper, we investigate set-valued maps of strongly and approximately Jensen convex and Jensen concave type. We present counterparts of the Bernstein–Doetsch Theorem with Tabor type error terms.

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Authors and Affiliations

  1. Faculty of Informatics, University of Debrecen, Egyetem tér 1, 4032, Debrecen, Hungary

    Attila Gilányi

  2. Escuela de Matematicas, Universidad Central de Venezuela, Caracas, Venezuela

    Carlos González

  3. Department of Mathematics, University of Bielsko-Biala, ul. Willowa 2, 43-309, Bielsko-Biała, Poland

    Kazimierz Nikodem

  4. Institute of Mathematics, University of Debrecen, Egyetem tér 1, 4032, Debrecen, Hungary

    Zsolt Páles

Authors
  1. Attila Gilányi
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  2. Carlos González
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  3. Kazimierz Nikodem
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  4. Zsolt Páles
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Corresponding author

Correspondence to Zsolt Páles.

Additional information

This research was supported by the Hungarian Scientific Research Fund (OTKA) Grant K 111651.

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Gilányi, A., González, C., Nikodem, K. et al. Bernstein–Doetsch Type Theorems with Tabor Type Error Terms for Set-Valued Maps. Set-Valued Var. Anal 25, 441–462 (2017). https://doi.org/10.1007/s11228-016-0390-7

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  • DOI: https://doi.org/10.1007/s11228-016-0390-7

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