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Additive-Quadratic ρ-Functional Equations in Banach Spaces

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Modern Discrete Mathematics and Analysis

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 131))

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Abstract

Let

where ρ is a fixed nonzero number with ρ≠1.

Using the direct method, we prove the Hyers–Ulam stability of the additive-quadratic ρ-functional equations (1) and (2) in Banach spaces.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Daejin University, Pocheon, Republic of Korea

    Jung Rye Lee

  2. Research Institute for Natural Sciences, Hanyang University, Seoul, Republic of Korea

    Choonkil Park

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

    Themistocles M. Rassias

Authors
  1. Jung Rye Lee
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  2. Choonkil Park
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  3. Themistocles M. Rassias
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Corresponding author

Correspondence to Themistocles M. Rassias .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Hellenic Military Academy, Vari, Greece

    Nicholas J. Daras

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

    Themistocles M. Rassias

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Lee, J.R., Park, C., Rassias, T.M. (2018). Additive-Quadratic ρ-Functional Equations in Banach Spaces. In: Daras, N., Rassias, T. (eds) Modern Discrete Mathematics and Analysis . Springer Optimization and Its Applications, vol 131. Springer, Cham. https://doi.org/10.1007/978-3-319-74325-7_14

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