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Iranian Journal of Fuzzy Systems، جلد ۹، شماره ۵، صفحات ۲۱-۴۰
عنوان فارسی A FIXED POINT APPROACH TO THE INTUITIONISTIC FUZZY STABILITY OF QUINTIC AND SEXTIC FUNCTIONAL EQUATIONS
چکیده فارسی مقاله The fixed point alternative methods are implemented to give
Hyers-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 the
sextic 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 of
intuitionistic fuzzy normed spaces (IFN-spaces).  This method
introduces a metrical context and shows that the stability is
related to some fixed point of a suitable operator. Furthermore, the
interdisciplinary relation among the fuzzy set theory,  the theory
of intuitionistic spaces and the theory of functional equations are
also presented in the paper.
کلیدواژه‌های فارسی مقاله Ulam-Hyers stability، Quintic functional equation، Sextic functional equation، Intuitionistic fuzzy normed space،
عنوان انگلیسی A FIXED POINT APPROACH TO THE INTUITIONISTIC FUZZY STABILITY OF QUINTIC AND SEXTIC FUNCTIONAL EQUATIONS
چکیده انگلیسی مقاله The fixed point alternative methods are implemented to give
Hyers-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 the
sextic 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 of
intuitionistic fuzzy normed spaces (IFN-spaces).  This method
introduces a metrical context and shows that the stability is
related to some fixed point of a suitable operator. Furthermore, the
interdisciplinary relation among the fuzzy set theory,  the theory
of intuitionistic spaces and the theory of functional equations are
also presented in the paper.
کلیدواژه‌های انگلیسی مقاله
نویسندگان مقاله Tian Zhou Xu |
School of Mathematics, Beijing Institute of Technology, Beijing 100081, People's Republic of China

Matina John Rassias |
Department of Statistical, University College London, Science 1-19 Torrington Place, London WC1E 7HB, United Kingdom

Wan Xin Xu |
Department of Electrical and Computer Engineering, College of En- gineering, University of Kentucky, Lexington 40506, Usa and School of Communica- tion and Information Engineering, University of Electronic Science and Technology of China

نشانی اینترنتی http://ijfs.usb.ac.ir/article_102_8ee321bf3524ad5d9b61a7ebca651dc9.pdf
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