University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
9
5
2012
12
28
A FIXED POINT APPROACH TO THE INTUITIONISTIC
FUZZY STABILITY OF QUINTIC AND SEXTIC
FUNCTIONAL EQUATIONS
A FIXED POINT APPROACH TO THE INTUITIONISTIC
FUZZY STABILITY OF QUINTIC AND SEXTIC
FUNCTIONAL EQUATIONS
21
40
102
10.22111/ijfs.2012.102
EN
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
Journal Article
2010
12
27
The fixed point alternative methods are implemented to give<br />Hyers-Ulam stability for the quintic functional equation $ f(x+3y)<br />- 5f(x+2y) + 10 f(x+y)- 10f(x)+ 5f(x-y) - f(x-2y) = 120f(y)$ and the<br />sextic functional equation $f(x+3y) - 6f(x+2y) + 15 f(x+y)- 20f(x)+<br />15f(x-y) - 6f(x-2y)+f(x-3y) = 720f(y)$ in the setting of<br />intuitionistic fuzzy normed spaces (IFN-spaces). This method<br />introduces a metrical context and shows that the stability is<br />related to some fixed point of a suitable operator. Furthermore, the<br />interdisciplinary relation among the fuzzy set theory, the theory<br />of intuitionistic spaces and the theory of functional equations are<br />also presented in the paper.
https://ijfs.usb.ac.ir/article_102_8ee321bf3524ad5d9b61a7ebca651dc9.pdf