Solution and Hyers-Ulam-Rassias Stability of Generalized Mixed Type Additive-Quadratic Functional Equations in Fuzzy Banach Spaces | Zendy

M‎. ‎Eshaghi Gordji | Zendy; Hassan Azadi Kenary | Zendy; Hamid Rezaei | Zendy; Y. W. Lee | Zendy; Gwang Hui Kim | Zendy

Open Access

Solution and Hyers-Ulam-Rassias Stability of Generalized Mixed Type Additive-Quadratic Functional Equations in Fuzzy Banach Spaces

Author(s) -

M‎. ‎Eshaghi Gordji,

Hassan Azadi Kenary,

Hamid Rezaei,

Y. W. Lee,

Gwang Hui Kim

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/953938

Subject(s) - mathematics , banach space , quadratic equation , stability (learning theory) , pure mathematics , type (biology) , fuzzy logic , functional equation , mathematical analysis , differential equation , ecology , linguistics , philosophy , geometry , machine learning , computer science , biology

By using fixed point methods and direct method, we establish thegeneralized Hyers-Ulam stability of the following additive-quadratic functional equation f(x+ky)+f(x−ky)=f(x+y)+f(x−y)+(2(k+1)/k)f(ky)−2(k+1)f(y) for fixed integers k with k≠0,±1 in fuzzy Banach spaces

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