Asymptotic aspect of quadratic functional equations and super stability of higher derivations in multi-fuzzy normed spaces

Subject Areas : History and biography

M. khanehgir ¹ , F. Hasanvand ²

1 - Department of Mathematics, Mashhad Branch, Islamic Azad University, P.O.Box 91735, Mashhad, Iran
2 - Department of Mathematics, Mashhad Branch, Islamic Azad University, P.O.Box 91735, Mashhad, Iran

Received: 2015-12-04 Accepted : 2016-05-30 Published : 2016-08-01

Keywords: fuzzy normed space, higher derivation, Hyers-Ulam-Rassias stability, quadratic functional equation, multi-normed space,

Abstract :

In this paper, we introduce the notion of multi-fuzzynormed spaces and establish an asymptotic behavior of the quadraticfunctional equations in the setup of such spaces. We theninvestigate the superstability of strongly higher derivations in theframework of multi-fuzzy Banach algebras

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