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Selections of Set-valued Maps Satisfying Some Inclusions and the Hyers–Ulam Stability

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Handbook of Functional Equations

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 96))

Abstract

We present a survey of several results on selections of some set-valued functions satisfying some inclusions and also on stability of those inclusions. Moreover, we show their consequences concerning stability of the corresponding functional equations.

2010 Mathematics Subject Classification: 39B05, 39B82, 54C60, 54C65

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Authors and Affiliations

  1. Department of Mathematics, Pedagogical University, Podchorążych 2, 30-084, Kraków, Poland

    Janusz Brzdęk & Magdalena Piszczek

Authors
  1. Janusz Brzdęk
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  2. Magdalena Piszczek
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Correspondence to Janusz Brzdęk .

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Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Brzdęk, J., Piszczek, M. (2014). Selections of Set-valued Maps Satisfying Some Inclusions and the Hyers–Ulam Stability. In: Rassias, T. (eds) Handbook of Functional Equations. Springer Optimization and Its Applications, vol 96. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1286-5_4

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