A Fixed Point Approach to the Stability of the Cauchy Additive and Quadratic Type Functional Equation

Sun Sook Jin and Yang-Hi Lee

Journal of Applied Mathematics, 2011, vol. 2011, 1-16

Abstract:

We investigate the stability of the functional equation 2 ð ‘“ ( ð ‘¥ + 𠑦 ) + ð ‘“ ( ð ‘¥ − 𠑦 ) + ð ‘“ ( 𠑦 − ð ‘¥ ) − 3 ð ‘“ ( ð ‘¥ ) − ð ‘“ ( − ð ‘¥ ) − 3 ð ‘“ ( 𠑦 ) − ð ‘“ ( − 𠑦 ) = 0 by using the fixed point theory in the sense of Cădariu and Radu.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:817079

DOI: 10.1155/2011/817079

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