ON THE HYERS-ULAM STABILITY OF A QUADRATIC MAPPING IN BANACH MODULES

  • Bae, Jae-hyeong (Department of Mathematics, Chungnam National University) ;
  • Park, Won-Gil (Department of Mathematics, Chungnam National University)
  • Published : 2003.05.01

Abstract

We prove the generalized Hyers-Ulam stability of a quadratic functional equation f($\chi$+ y + z) + f($\chi$) + f(y) + f(z) = f($\chi$+ y) + f(y + z) + f(z + $\chi$) for the functions defined between Banach modules over a Banach algebra.

Keywords

References

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