SOLUTION AND STABILITY OF QUATTUORVIGINTIC FUNCTIONAL EQUATION IN INTUITIONISTIC FUZZY NORMED SPACES

نویسندگان
Sadeghi, Ghadir ID 1
Nazarianpoor, Mahdi ID 2
Rassias, John Michael ID 3

1 Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran

2 Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran

3 Pedagogical Department E. E, Section of Mathematics and Informatics, National and Capodistrian University of Athens, Athens, Greece

doi
10.22111/ijfs.2018.4112
چکیده

In this paper, we investigate the general solution and the generalized Hyers-Ulam stability of a new functional equation satisfied by $f(x) = x^{24}$, which is called quattuorvigintic functional equation in intuitionistic fuzzy normed spaces by using the fixed point method.These results can be regarded as an important extension of stability results corresponding to functional equations on normed spaces.

کلیدواژه‌ها
Quattuorvigintic functional equation, Intuitionistic fuzzy normed spaces, Hyers-Ulam stability