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Constructing the General Jensen-Cauchy Equations in Banach Space and Using Fixed Point Method to Establish Homomorphisms in Banach Algebras

DOI: 10.4236/oalib.1109931, PP. 1-20

Subject Areas: Mathematics

Keywords: Cauchy Additive Mapping, Jensen Additive Mapping, Cauchy-Jensen-Hyers-Ulam-Rassisa Stabilty, Fixed Point Method to Establish Homomorphisms in Banach Algebras

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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.

Cite this paper

An, L. V. (2023). Constructing the General Jensen-Cauchy Equations in Banach Space and Using Fixed Point Method to Establish Homomorphisms in Banach Algebras. Open Access Library Journal, 10, e9931. doi: http://dx.doi.org/10.4236/oalib.1109931.

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