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
Pages
9
From page
1
To page
9
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
Serial Year
2017
Record number
2441864
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