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Diaz, J.B. and Margolis, B. (1968) A Fixed Point Theorem of the Alternative, for Contractions on a Generalized Complete Metric Space. Bulletin of the American Mathematical Society, 74, 305-309. https://doi.org/10.1090/S0002-9904-1968-11933-0

has been cited by the following article:

• 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.