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

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Book cover Functional Equations in Mathematical Analysis

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 52))

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.

Mathematics Subject Classification (2000): Primary 39B82, 46S10

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Author information

Authors and Affiliations

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

    Krzysztof Ciepliński

Authors
  1. Krzysztof Ciepliński
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Correspondence to Krzysztof Ciepliński .

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Editors and Affiliations

  1. , Department of Mathematics, National Technical University of Athens, Iroon Polytechneiou 9, Athens, 15780, Greece

    Themistocles M. Rassias

  2. Institute of Mathematics, Pedagogical University, ul. Podchorazych 2, Krakow, 30-084, Poland

    Janusz Brzdek

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Ciepliński, K. (2011). Stability of Multi-Jensen Mappings in Non-Archimedean Normed Spaces. In: Rassias, T., Brzdek, J. (eds) Functional Equations in Mathematical Analysis. Springer Optimization and Its Applications(), vol 52. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0055-4_6

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