10.30495/maca.2020.679852

The generalized Hyers-Ulam stability of derivations in non-Archimedean Banach algebras

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  • Abolfazl Niazi Motlagh1,
  1. Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, P.O. Box 1339, Bojnord, Iran.

Published in Issue 2020-03-20

How to Cite

The generalized Hyers-Ulam stability of derivations in non-Archimedean Banach algebras. (2020). Mathematical Analysis and Its Contemporary Applications, 2(1). https://doi.org/10.30495/maca.2020.679852

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Abstract

In this paper, the generalized Hyers-Ulam stability of the functional inequality ||f(a)+f(b)+cf(d)+f(c)d|| ≤ ||kf((a+b+cd)/k)||, |k| < |2|, in non-Archimedean Banach algebras is established.

Keywords

  • Banach algebra,
  • Derivation,
  • Generalized Hyers-Ulam stability,
  • Non-Archimedean Banach algebra
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References

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