TY - JOUR
ID - 102
TI - A FIXED POINT APPROACH TO THE INTUITIONISTIC
FUZZY STABILITY OF QUINTIC AND SEXTIC
FUNCTIONAL EQUATIONS
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Xu, Tian Zhou
AU - Rassias, Matina John
AU - Xin Xu, Wan
AD - School of Mathematics, Beijing Institute of Technology, Beijing
100081, People's Republic of China
AD - Department of Statistical, University College London, Science
1-19 Torrington Place, London WC1E 7HB, United Kingdom
AD - 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
Y1 - 2012
PY - 2012
VL - 9
IS - 5
SP - 21
EP - 40
DO - 10.22111/ijfs.2012.102
N2 - 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 metrical context and shows that the stability isrelated to some fixed point of a suitable operator. Furthermore, theinterdisciplinary relation among the fuzzy set theory, the theoryof intuitionistic spaces and the theory of functional equations arealso presented in the paper.
UR - https://ijfs.usb.ac.ir/article_102.html
L1 - https://ijfs.usb.ac.ir/article_102_8ee321bf3524ad5d9b61a7ebca651dc9.pdf
ER -