%0 Journal Article %T Constructing the General Jensen-Cauchy Equations in Banach Space and Using Fixed Point Method to Establish Homomorphisms in Banach Algebras %A Ly Van An %J Open Access Library Journal %V 10 %N 3 %P 1-20 %@ 2333-9721 %D 2023 %I Open Access Library %R 10.4236/oalib.1109931 %X 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. %K Cauchy Additive Mapping %K Jensen Additive Mapping %K Cauchy-Jensen-Hyers-Ulam-Rassisa Stabilty %K Fixed Point Method to Establish Homomorphisms in Banach Algebras %U http://www.oalib.com/paper/6789533