Additive Functional Equation

Fuzzy stability results of additive functional equation in different approaches
K. Loganathan, K. Tamilvanan, L. N. Mishra and V. N. Mishra*
Annals of Communications in Mathematics 2020,
3 (3),
208-217
DOI: https://doi.org/10.62072/acm.2020.030304
AbstractIn this paper, we investigate some stability results of the following finite dimensional additive functional equation where n is the positive integer with N − {0, 1, 2} and k is the only odd positive integers, in Fuzzy Normed space using direct and fixed point approaches.

Fuzzy Stability for Finite Variable Additive Functional Equation in Classical Methods
K. Loganathan* and K. Tamilvanan
Annals of Communications in Mathematics 2020,
3 (1),
107-115
DOI: https://doi.org/10.62072/acm.2020.030111
AbstractWe examine the Ulam-Hyers stability of finite variable additive functional equation in fuzzy normed space using classical methods.