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arXiv · 2002.06999

Approximation of a Cauchy-Jensen additive mapping in various normed spaces

H. Azadi Kenary·Th. M. Rassias
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Abstract

In this paper, using the fixed point and direct methods, we prove the generalized Hyers-Ulam-Rassias stability of a Cauchy-Jensen additive functional equation in various normed spaces. The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.

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H. Azadi Kenary, Th. M. Rassias. 2020-02-17. Approximation of a Cauchy-Jensen additive mapping in various normed spaces. https://arxiv.org/abs/2002.06999

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