Erratum to: On a New Type of Hyperstability for Radical Cubic Functional Equation in Non-Archimedean Metric Spaces
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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In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the generalized radical cubic functional equation[ fleft( sqrt[3]{ax^3 + by^3}right)=af(x) + bf(y),] where $a,b in mathbb{R}_+$ are fixed positive real numbers, by using direct method in quasi-$beta$-Banach spaces. Moreover, we use subadditive functions to investigate stability of the generaliz...
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In the present paper, we give a new approach to Caristi's fixed pointtheorem on non-Archimedean fuzzy metric spaces. For this we define anordinary metric $d$ using the non-Archimedean fuzzy metric $M$ on a nonemptyset $X$ and we establish some relationship between $(X,d)$ and $(X,M,ast )$%. Hence, we prove our result by considering the original Caristi's fixedpoint theorem.
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In this paper we investigate the generalized Hyers-Ulamstability of the following Cauchy-Jensen type functional equation$$QBig(frac{x+y}{2}+zBig)+QBig(frac{x+z}{2}+yBig)+QBig(frac{z+y}{2}+xBig)=2[Q(x)+Q(y)+Q(z)]$$ in non-Archimedean spaces
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ژورنال
عنوان ژورنال: Results in Mathematics
سال: 2017
ISSN: 1422-6383,1420-9012
DOI: 10.1007/s00025-017-0743-z