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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

Archives › Volume 4, Number 2 (2014)

Adv. Fixed Point Theory 4 (2014), 280–309

A fixed point approach to the stability of an additive cubic functional equation in paranormed spaces

K. Ravi, J.M. Rassias, R. Jamuna

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Abstract

In this paper, using fixed point method we prove the generalized Hyers Ulam Rassias stability of the additive cubic functional equation

f(x-ky)=k2[f(x+y)+ f(x-y)]+2(1- k2)f(x)

for fixed integers k, with k≠0,±1 in paranormed spaces.

Published
29 March 2014
Volume
4 (2014)
License
CC BY 3.0

Copyright © 2014 K. Ravi, J.M. Rassias, R. Jamuna. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

K. Ravi, J. M. Rassias, R. Jamuna, A fixed point approach to the stability of an additive cubic functional equation in paranormed spaces, Adv. Fixed Point Theory 4 (2014), 280–309.

BibTeX
@article{Ravi2014,
  author  = {Ravi, K. and Rassias, J.M. and Jamuna, R.},
  title   = {A fixed point approach to the stability of an additive cubic functional equation in paranormed spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {4},
  year    = {2014},
  pages   = {280--309},
  doi     = {}
}