Solution and intuitionistic fuzzy stability of n- dimensional quadratic functional equation: direct and fixed point methods
نویسندگان
چکیده
منابع مشابه
Intuitionistic fuzzy stability of a quadratic and quartic functional equation
In this paper, we prove the generalized Hyers--Ulamstability of a quadratic and quartic functional equation inintuitionistic fuzzy Banach spaces.
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in this paper, we prove the generalized hyers--ulamstability of a quadratic and quartic functional equation inintuitionistic fuzzy banach spaces.
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The fixed point alternative methods are implemented to giveHyers-Ulam stability for the quintic functional equation $ f(x+3y)- 5f(x+2y) + 10 f(x+y)- 10f(x)+ 5f(x-y) - f(x-2y) = 120f(y)$ and thesextic functional equation $f(x+3y) - 6f(x+2y) + 15 f(x+y)- 20f(x)+15f(x-y) - 6f(x-2y)+f(x-3y) = 720f(y)$ in the setting ofintuitionistic fuzzy normed spaces (IFN-spaces). This methodintroduces a met...
متن کاملIntuitionistic Fuzzy Stability of a Quadratic and Quartic Functional Equation
In this paper, we prove the generalized Hyers–Ulam stability of a quadratic and quartic functional equation in intuitionistic fuzzy Banach spaces.
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The study of stability problems of functional equations was motivated by a question of S.M. Ulam asked in 1940. The first result giving answer to this question is due to D.H. Hyers. Subsequently, his result was extended and generalized in several ways.We prove some hyperstability results for the equation g(ax+by)+g(cx+dy)=Ag(x)+Bg(y)on restricted domain. Namely, we show, under some weak natural...
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ژورنال
عنوان ژورنال: International Journal of Advanced Mathematical Sciences
سال: 2013
ISSN: 2307-454X
DOI: 10.14419/ijams.v2i1.1498