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Fixed Points and the Stability of an AQCQ-Functional Equation in Non-Archimedean Normed Spaces

Choonkil Park

Abstract and Applied Analysis · 2010

doi:10.1155/2010/849543 (opens in a new tab)

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Abstract

Using fixed point method, we prove the generalized Hyers‐Ulam stability of the following additive‐quadratic‐cubic‐quartic functional equation f ( x + 2 y ) + f ( x − 2 y ) = 4 f ( x + y ) + 4 f ( x − y ) − 6 f ( x ) + f (2 y ) + f (−2 y ) − 4 f ( y ) − 4 f (− y ) in non‐Archimedean Banach spaces.

Abstract licence: CC BY

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