Title of article :
Quadratic α-functional equations
Author/Authors :
Park, Choonkil Hanyang University - Seoul, Republic of Korea , Og Kim, Sang Department of Mathematics - Hallym University, Republic of Korea
Abstract :
In this paper, we solve the quadratic -functional equations
2f(x) + 2f(y) = f(x + y) + α-2f(α(x - y)); (0.1)
where α is a xed non-Archimedean number with α-2 6= 3. Using the xed point method and the
direct method, we prove the Hyers-Ulam stability of the functional equation (0.1) in non-Archimedean
Banach spaces.
Keywords :
Hyers-Ulam stability , non-Archimedean normed space , direct method , quadratic α-functional equation
Journal title :
Astroparticle Physics
