FUZZY STABILITY FOR A CLASS OF QUADRATIC FUNCTIONAL EQUATIONS
نویسندگان
چکیده
منابع مشابه
Fuzzy Stability of Quadratic Functional Equations
Katsaras 1 defined a fuzzy norm on a vector space to construct a fuzzy vector topological structure on the space. Some mathematicians have defined fuzzy norms on a vector space from various points of view 2–4 . In particular, Bag and Samanta 5 , following Cheng and Mordeson 6 , gave an idea of fuzzy norm in such a manner that the corresponding fuzzy metric is of Kramosil and Michálek type 7 . T...
متن کاملFuzzy Stability of Additive–quadratic Functional Equations
In this paper we investigate the generalized HyersUlam stability of the functional equation f(2x + y) + f(2x − y) = f(x + y) + f(x − y) + 2f(2x)− 2f(x) in fuzzy Banach spaces.
متن کاملIntuitionistic fuzzy stability of a quadratic and quartic functional equation
In this paper, we prove the generalized Hyers--Ulamstability of a quadratic and quartic functional equation inintuitionistic fuzzy Banach spaces.
متن کاملFuzzy Stability of Jensen-Type Quadratic Functional Equations
and Applied Analysis 3 a vector space from various points of view 28–30 . In particular, Bag and Samanta 31 , following Cheng and Mordeson 32 , gave an idea of fuzzy norm in such a manner that the corresponding fuzzy metric is of Kramosil and Michálek type 33 . They established a decomposition theorem of a fuzzy norm into a family of crisp norms and investigated some properties of fuzzy normed ...
متن کاملQuadratic $alpha$-functional equations
In this paper, we solve the quadratic $alpha$-functional equations $2f(x) + 2f(y) = f(x + y) + alpha^{-2}f(alpha(x-y)); (0.1)$ where $alpha$ is a fixed non-Archimedean number with $alpha^{-2}neq 3$. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the quadratic $alpha$-functional equation (0.1) in non-Archimedean Banach spaces.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Chungcheong Mathematical Society
سال: 2014
ISSN: 1226-3524
DOI: 10.14403/jcms.2014.27.1.123