Hyperstability of the Cauchy equation on restricted domains
作者： Janusz Brzdȩk
DOI: 10.1007/S10474-013-0302-3
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摘要: We show that a very classical result, proved by T. Aoki, Z. Gajda and Th. M. Rassias concerning the Hyers–Ulam stability of Cauchy equation f(x+y)=f(x)+f(y), can be significantly improved. also provide some immediate applications it (among others for cocycle equation, which is useful in characterizations information measures). In particular, we give solution to problem was formulated more than 20 years ago concerned optimality estimations. The proof result based on fixed point theorem.
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