Hyperstability of Cauchy and Jensen functional equations in 2-normed spaces

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2024年4月3日

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Abbas Najati,
Yavar Khedmati Yengejeh,
Kandhasamy Tamilvanan,
Masho Jima Kabeto

摘要

In this article, with simple and short proofs without applying fixed point theorems, some hyperstability results corresponding to the functional equations of Cauchy and Jensen are presented in 2-normed spaces. We also obtain some results on hyperstability for the general linear functional equation $f (a x + b y) = A f (x) + B f (y) + C$ $f(ax+by)=Af(x)+Bf(y)+C$ .