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

Janusz Brzdęk (jbrzdek@up.krakow.pl) and Magdalena Piszczek (magdap@up.krakow.pl)
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Janusz Brzdęk: Pedagogical University
Magdalena Piszczek: Pedagogical University

A chapter in Handbook of Functional Equations, 2014, pp 83-100 from Springer

Abstract: 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.

Keywords: Stability of functional equation; Set-valued map; Inclusion; Selection (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4939-1286-5_4

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DOI: 10.1007/978-1-4939-1286-5_4

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