Intuitionistic fuzzy stability of the generalized forms of cubic and quartic functional equations

Article type: Research Article

Authors: Bodaghi, Abasalt^*

Affiliations: Young Researchers and Elite Club, Islamshahr Branch, Islamic Azad University, Islamshahr, Iran

Correspondence: [*] Corresponding author. Abasalt Bodaghi, Young Researchers and Elite Club, Islamshahr Branch, Islamic Azad University, Islamshahr, Iran. Tel.: +989125369752; Fax: +982334202707; E-mail: [email protected].

Abstract: The aim of this article is to extend the applications of a fixed point method to provide the intuitionistic fuzzy versions of Hyers-Ulam stability for the generalized forms of cubic and quartic functional equations. This way shows that the concept of stability is related to some fixed point of a suitable operator.

Keywords: Cubic functional equation, Hyers-Ulam stability, intuitionistic fuzzy normed space, quartic functional equation

DOI: 10.3233/IFS-152001

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 4, pp. 2309-2317, 2016