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

Tian Zhou Xu and John Michael Rassias

Abstract and Applied Analysis, 2012, vol. 2012, 1-23

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:926390

DOI: 10.1155/2012/926390

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