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

Authors

  • Ghadir Sadeghi Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran
  • John Michael Rassias Pedagogical Department E. E, Section of Mathematics and Informatics, National and Capodistrian University of Athens, Athens, Greece
  • Mahdi Nazarianpoor Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran
Abstract:

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.

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Journal title

volume 15  issue 4

pages  13- 30

publication date 2018-08-30

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