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

2020/02/17 by Hassan Azadi Kenary, Kenary, H. Azadi, Th. M. Rassias +1
Mathematics · #39B22 #39B52 #39B82 #46S10 #46S40 #47S10 #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results

paper · pdf · doi:10.48550/arxiv.2002.06999

openalex publication_date 2020/02/17 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

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

Citations

• On the stability of the linear mapping in Banach spaces

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