A Fixed Point Approach to the Stability of a Cauchy‐Jensen Functional Equation

Jae-Hyeong Bae and Won-Gil Park

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We find out the general solution of a generalized Cauchy‐Jensen functional equation and prove its stability. In fact, we investigate the existence of a Cauchy‐Jensen mapping related to the generalized Cauchy‐Jensen functional equation and prove its uniqueness. In the last section of this paper, we treat a fixed point approach to the stability of the Cauchy‐Jensen functional equation.

Date: 2012
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https://doi.org/10.1155/2012/205160

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:205160

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