Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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HYERS-ULAM STABILITY OF MAPPINGS FROM A RING A INTO AN A-BIMODULE

  • Oubbi, Lahbib (Department of Mathematics Ecole Normale Superieure Mohammed V-Agdal University)
  • Received : 2012.07.27
  • Published : 2013.10.31
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Abstract

We deal with the Hyers-Ulam stability problem of linear mappings from a vector space into a Banach one with respect to the following functional equation: $$f\(\frac{-x+y}{3}\)+f\(\frac{x-3z}{3}\)+f\(\frac{3x-y+3z}{3}\)=f(x)$$. We then combine this equation with other ones and establish the Hyers-Ulam stability of several kinds of linear mappings, among which the algebra (*-) homomorphisms, the derivations, the multipliers and others. We thus repair and improve some previous assertions in the literature.

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References

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