Stability of an Additive-Cubic-Quartic Functional Equation

  title={Stability of an Additive-Cubic-Quartic Functional Equation},
  author={M. Eshaghi-Gordji and S. Kaboli-Gharetapeh and Choonkil Park and Somayyeh Zolfaghari},
  • M. Eshaghi-Gordji, S. Kaboli-Gharetapeh, +1 author Somayyeh Zolfaghari
  • Published 2010
The stability problem of functional equations is originated from a question of Ulam 1 concerning the stability of group homomorphisms. Hyers 2 gave a first affirmative partial answer to the question of Ulam for Banach spaces. Hyers’ Theorem was generalized by Aoki 3 for additive mappings and by Rassias 4 for linear mappings by considering an unbounded Cauchy difference. The paper of Rassias 4 has provided a lot of influence in the development of what we call generalized Hyers-Ulam stability or… CONTINUE READING
Highly Cited
This paper has 25 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.
17 Citations
6 References
Similar Papers


Publications citing this paper.


Publications referenced by this paper.
Showing 1-6 of 6 references

The generalized Hyers - Ulam - Rassias stability of a cubic functional equation

  • J.-H. Bae
  • Journal of Mathematical Analysis and Applications
  • 2002

On the stability of functional equations in Banach spaces

  • H.-M. Kim
  • Journal of Mathematical Analysis and Applications
  • 2000

The generalized Hyers-Ulam stability of a class of functional equations,

  • A. Grabiec
  • mappings,” Journal of Mathematical Analysis and…
  • 1994

On the stability of the linear mapping in Banach spaces

  • Th. M. Rassias
  • Proceedings of the American Mathematical Society
  • 1950

On the stability of the linear transformation in Banach spaces,

  • T. Aoki
  • Sciences of the United States of America,
  • 1941

Similar Papers

Loading similar papers…