Hyers-Ulam Stability

Fuzzy stability results deriving form quadratic functional equation
G. Balasubramanian, K. Loganathan*, K. Tamilvanan
Annals of Communications in Mathematics 2020,
3 (4),
252-260
DOI: https://doi.org/10.62072/acm.2020.030402
AbstractWe establish the generalized Hyers-Ulam stability of the 4 variable quadratic functional equation in Fuzzy Normed Spaces using two different methods.

Stability of finite variable quartic functional equation in classical methods
G. Balasubramanian, K. Loganathan*, K. Tamilvanan
Annals of Communications in Mathematics 2020,
3 (4),
285-292
DOI: https://doi.org/10.62072/acm.2020.030405
AbstractIn this work, we investigate the Hyers-Ulam stability by using direct and fixed point methods for the quartic functional equation for positive integer p ≥ 3.

Stability of 4-variable quadratic functional equation in Banach spaces
K. Loganathan, K. Mohana*, K. Tamilvanan
Annals of Communications in Mathematics 2020,
3 (1),
80-87
DOI: https://doi.org/10.62072/acm.2020.030108
AbstractIn this work, authors investigate the generalized Hyers-Ulam stability of the 4-variable quadratic functional equation of the form

Fuzzy Stability for Finite Variable Additive Functional Equation in Classical Methods
K. Loganathan*, 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.