@article {
author = {Xu, Tian Zhou and Rassias, Matina John and Xin Xu, Wan},
title = {A FIXED POINT APPROACH TO THE INTUITIONISTIC
FUZZY STABILITY OF QUINTIC AND SEXTIC
FUNCTIONAL EQUATIONS},
journal = {Iranian Journal of Fuzzy Systems},
volume = {9},
number = {5},
pages = {21-40},
year = {2012},
publisher = {University of Sistan and Baluchestan},
issn = {1735-0654},
eissn = {2676-4334},
doi = {10.22111/ijfs.2012.102},
abstract = {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.},
keywords = {},
url = {https://ijfs.usb.ac.ir/article_102.html},
eprint = {https://ijfs.usb.ac.ir/article_102_8ee321bf3524ad5d9b61a7ebca651dc9.pdf}
}