Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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APPROXIMATE RING HOMOMORPHISMS OVER p-ADIC FIELDS

  • Park, Choonkil (Department of Mathematics Hanyang University) ;
  • Jun, Kil-Woung (Department of Mathematics Chungnam National University) ;
  • Lu, Gang (Department of Mathematics Chungnam National University)
  • Received : 2006.07.21
  • Published : 2006.09.30
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Abstract

In this paper, we prove the generalized Hyers-Ulam stability of ring homomorphisms over the p-adic field $\mathbb{Q}_p$ associated with the Cauchy functional equation f(x+y) = f(x)+f(y) and the Cauchy-Jensen functional equation $2f(\frac{x+y}{2}+z)=f(x)+f(y)+2f(z)$.

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