Articles

APPROXIMATION OF A CAUCHY-JENSEN ADDITIVE FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN NORMED SPACES

  • Hassan Azadi Kenary
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  • Department of Mathematics, College of Sciences, Yasouj University, Yasouj 75914-353, Iran

Received date: 2011-05-24

  Revised date: 2011-12-31

  Online published: 2012-11-20

Abstract

Using the fixed point and direct methods, we prove the Hyers-Ulam stability of the following Cauchy-Jensen additive functional equation
2f(∑pi=1xi +∑qj=1yj + 2∑dk=1zk/2) =2f(∑pi=1xi +∑qj=1yj + 2∑dk=1(zk),

where p, q, d are integers greater than 1, in non-Archimedean normed spaces.

Cite this article

Hassan Azadi Kenary . APPROXIMATION OF A CAUCHY-JENSEN ADDITIVE FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN NORMED SPACES[J]. Acta mathematica scientia, Series B, 2012 , 32(6) : 2247 -2258 . DOI: 10.1016/S0252-9602(12)60174-X

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