quadratic $alpha$-functional equations

نویسندگان

choonkil park

research nstitute for natural sciences, hanyang university seoul 04763, korea sang og kim

department of mathematics hallym university chuncheon 24252 korea

چکیده

in this paper, we solve the quadratic $alpha$ -functional equations $2f(x) + 2f(y) = f(x + y) + alpha^{-2}f( alpha(x-y)); (0.1)$ where $alpha$ is a fixed non-archimedean number with $alpha^{-2}neq 3$. using the fixed point method and the direct method, we prove the hyers-ulam stability of the quadratic $alpha$-functional equation (0.1) in non-archimedean banach spaces.

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عنوان ژورنال:
international journal of nonlinear analysis and applications

جلد ۸، شماره ۱، صفحات ۱-۹

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