Approximate Quadratic-Additive Mappings in Fuzzy Normed Spaces
نویسندگان
چکیده
منابع مشابه
Stability of additive mappings in non-Archimedean fuzzy normed spaces
In this paper we introduce a notion of a non-Archimedean fuzzy norm and study the stability of the Cauchy equation in the context of non-Archimedean fuzzy spaces in the spirit of Hyers–Ulam–Rassias–Găvruţa. As a corollary, the stability of the Jensen equation is established. We indeed present an interdisciplinary relation between the theory of fuzzy spaces, the theory of non-Archimedean spaces ...
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Won{Gil Park [Won{Gil Park, J. Math. Anal. Appl., 376 (1) (2011) 193{202] proved the Hyers{Ulam stability of the Cauchy functional equation, the Jensen functional equation and the quadraticfunctional equation in 2{Banach spaces. One can easily see that all results of this paper are incorrect.Hence the control functions in all theorems of this paper are not correct. In this paper, we correctthes...
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2014
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2014/494781