STABILITY OF A CUBIC FUNCTIONAL EQUATION IN FUZZY NORMED SPACE | Zendy

K. Ravi | Zendy; John Michael Rassias | Zendy; Pasupathi Narasimman | Zendy

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STABILITY OF A CUBIC FUNCTIONAL EQUATION IN FUZZY NORMED SPACE

Author(s) -

K. Ravi,

John Michael Rassias,

Pasupathi Narasimman

Publication year - 2011

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2011028

Subject(s) - mathematics , functional equation , banach space , normed vector space , stability (learning theory) , functional analysis , space (punctuation) , pure mathematics , discrete mathematics , mathematical analysis , differential equation , computer science , chemistry , machine learning , operating system , biochemistry , gene

In this paper, the authors investigate the general solution of a new cubic functional equation \(\begin{equation*} 3f(x+3y)-f(3x+y)=12[f(x+y)+f(x-y)]+80f(y)-48f(x) \end{equation*}\) and discuss its generalized Hyers - Ulam - Rassias stability in Banach spaces and stability in fuzzy normed spaces.

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