TITLE:
Constructing the General Jensen-Cauchy Equations in Banach Space and Using Fixed Point Method to Establish Homomorphisms in Banach Algebras
AUTHORS:
Ly Van An
KEYWORDS:
Cauchy Additive Mapping, Jensen Additive Mapping, Cauchy-Jensen-Hyers-Ulam-Rassisa Stabilty, Fixed Point Method to Establish Homomorphisms in Banach Algebras
JOURNAL NAME:
Open Access Library Journal,
Vol.10 No.3,
March
30,
2023
ABSTRACT: In this paper, we study to solve general Cauchy-Jensen additive mappings with 3k-variables. First, we investigated the Cauchy-Jensen stability of the functional Equations (1.1), (1.2) and (1.3) in Banach-spaces and then I apply the fixed point method to establish homomorphisms on the Banach algebras.