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On the Hyers-Ulam Stability of a General Mixed Additive and Cubic Functional Equation in n -Banach Spaces

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  • Tian Zhou Xu
  • John Michael Rassias

Abstract

The objective of the present paper is to determine the generalized Hyers-Ulam stability of the mixed additive-cubic functional equation in n -Banach spaces by the direct method. In addition, we show under some suitable conditions that an approximately mixed additive-cubic function can be approximated by a mixed additive and cubic mapping.

Suggested Citation

  • Tian Zhou Xu & John Michael Rassias, 2012. "On the Hyers-Ulam Stability of a General Mixed Additive and Cubic Functional Equation in n -Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-23, April.
    • Handle: RePEc:hin:jnlaaa:926390
    DOI: 10.1155/2012/926390
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    Cited by:

    1. Janusz Brzdęk & El-sayed El-hady, 2020. "On Hyperstability of the Cauchy Functional Equation in n -Banach Spaces," Mathematics, MDPI, vol. 8(11), pages 1-12, October.

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