Stability of Multi-Jensen Mappings in Non-Archimedean Normed Spaces

Krzysztof Ciepliński ()
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Krzysztof Ciepliński: Pedagogical University

Chapter Chapter 6 in Functional Equations in Mathematical Analysis, 2011, pp 79-86 from Springer

Abstract: Abstract A function f : V n →W, where V and W are normed spaces over a field of characteristic different from 2 and n ≥ 1 is an integer, is called multi-Jensen if it satisfies Jensen’s functional equation in each variable. In this note, we provide a proof of a generalized Hyers–Ulam stability of multi-Jensen mappings in non-Archimedean normed spaces, using the so-called direct method.

Keywords: Generalized Hyers–Ulam stability; Non-Archimedean normed space; Multi-Jensen mapping; Multi-additive mapping; Direct method (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-0055-4_6

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DOI: 10.1007/978-1-4614-0055-4_6

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