On the Stability of Generalized Quartic Mappings in Quasi--Normed Spaces
نویسندگان
چکیده
Copyright q 2010 Dongseung Kang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We investigate the generalized Hyers-Ulam-Rassias stability problem in quasi-β-normed spaces and then the stability by using a subadditive function for the generalized quartic function f : X → Y such that fax by fax − by − 2a 2 a 2 − b 2 fx ab 2 fx y fx − y − 2b 2 a 2 − b 2 fy, where a / 0, b / 0, a ± b / 0, for all x, y ∈ X.
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