On a functional equation that has the quadratic-multiplicative property
Park Choonkil, Tamilvanan Kandhasamy, Balasubramanian Ganapathy and 2 more
Open Mathematics · 2020
doi:10.1515/math-2020-0032 (opens in a new tab)
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Abstract
In this article, we obtain the general solution and prove the Hyers-Ulam stability of the following quadratic-multiplicative functional equation:ϕ(st−uv)+ϕ(sv+tu)=[ϕ(s)+ϕ(u)][ϕ(t)+ϕ(v)]\phi (st-uv)+\phi (sv+tu)={[}\phi (s)+\phi (u)]{[}\phi (t)+\phi (v)]by using the direct method and the fixed point method.
Abstract licence: CC BY
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