Approximation of a Cauchy-Jensen additive mapping in various normed spaces
Functional Analysis
2020-02-24 v2
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.
Keywords
Cite
@article{arxiv.2002.06999,
title = {Approximation of a Cauchy-Jensen additive mapping in various normed spaces},
author = {H. Azadi Kenary and Th. M. Rassias},
journal= {arXiv preprint arXiv:2002.06999},
year = {2020}
}
Comments
37 pages. arXiv admin note: text overlap with arXiv:0812.5015 by other authors