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

Journal of Linear and Topological Algebra

مقاله 1، دوره 05، شماره 02، مرداد 2016، صفحه 67-81   

نوع مقاله: Research Paper

نویسندگان

M. khanehgir^* ؛ F. Hasanvand

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

چکیده

In this paper, we introduce the notion of multi-fuzzy normed spaces and establish an asymptotic behavior of the quadratic functional equations in the setup of such spaces. We then investigate the superstability of strongly higher derivations in the framework of multi-fuzzy Banach algebras

کلیدواژه‌ها

fuzzy normed space؛ higher derivation؛ Hyers-Ulam-Rassias stability؛ multi-normed space؛ quadratic functional equation

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