Non-Archimedean Hyers-Ulam Stability of an Additive-Quadratic Mapping

Hassan Azadi Kenary, Themistocles M. Rassias, H. Rezaei, S. Talebzadeh and Won-Gil Park

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-19

Abstract:

Using fixed point method and direct method, we prove the Hyers-Ulam stability of the following additive-quadratic functional equation 𠑟 2 𠑓 ( ( 𠑥 + 𠑦 + 𠑧 ) / 𠑟 ) + 𠑟 2 𠑓 ( ( 𠑥 − 𠑦 + 𠑧 ) / 𠑟 ) + 𠑟 2 𠑓 ( ( 𠑥 + 𠑦 − 𠑧 ) / 𠑟 ) + 𠑟 2 𠑓 ( ( − 𠑥 + 𠑦 + 𠑧 ) / 𠑟 ) = 4 𠑓 ( 𠑥 ) + 4 𠑓 ( 𠑦 ) + 4 𠑓 ( 𠑧 ) , where 𠑟 is a positive real number, in non-Archimedean normed spaces.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:824257

DOI: 10.1155/2012/824257

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