The stability of a cubic type functional equation with the fixed point alternative
نویسندگان
چکیده
منابع مشابه
On a new type of stability of a radical cubic functional equation related to Jensen mapping
The aim of this paper is to introduce and solve the radical cubic functional equation $fleft(sqrt[3]{x^{3}+y^{3}}right)+fleft(sqrt[3]{x^{3}-y^{3}}right)=2f(x)$. We also investigate some stability and hyperstability results for the considered equation in 2-Banach spaces.
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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...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2005
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2004.10.017