Stability Results in Intuitionistic Fuzzy Normed Spaces for a Cubic Functional Equation

Authors

M. Mursaleen, Department of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaFollow
Khursheed J. Ansari

Author Country (or Countries)

India

Abstract

In this paper, we determine some stability results concerning the cubic functional equation kf(x + ky) + f(kx − y) = k(k2 + 1) 2 [f(x + y) + f(x − y)] + (k 4 − 1)f(y), where k ≥ 2 is a fixed integer, in the setting of intuitionistic fuzzy normed spaces (IFNS). Further we study the intuitionistic fuzzy continuity through the existence of a certain solution of a fuzzy stability problem for approximately cubic functional equation.

Suggested Reviewers

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Recommended Citation

Mursaleen, M. and J. Ansari, Khursheed (2013) "Stability Results in Intuitionistic Fuzzy Normed Spaces for a Cubic Functional Equation," Applied Mathematics & Information Sciences: Vol. 07: Iss. 5, Article 4.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss5/4