Remarks on stability of some inhomogeneous functional equations (original) (raw)
2014, Aequationes mathematicae
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A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation
Abstract and Applied Analysis, 2012
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.
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