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ON THE HYERS-ULAM STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY

  • Received : 2013.03.27
  • Accepted : 2013.10.11
  • Published : 2013.11.15

Abstract

In this paper, we prove the generalized Hyers-Ulam stability of the additive functional inequality $${\parallel}f(x-y)+f(y-z)+f(z){\parallel}{\leq}{\parallel}f(x){\parallel}$$ in Banach spaces.

Keywords

References

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Cited by

  1. APPROXIMATE QUADRATIC MAPPINGS IN QUASI-β-NORMED SPACES vol.28, pp.2, 2015, https://doi.org/10.14403/jcms.2015.28.2.311