References
- T. Aoki, On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan, 2(1950), 64-66. https://doi.org/10.2969/jmsj/00210064
- L. Cadariu, Fixed points in generalized metric space and the stability of a quartic functional equation, Bul. Stiint. Univ. Politeh. Timis. Ser. Mat. Fiz., 50(64)(2)(2005), 25-34.
- S. Czerwik, Functional Equations and Inequalities in Several Variables, World Scientific, River Edge, NJ, 2002.
- K. Hensel, Uber eine neue Begrundung der Theorie der algebraischen Zahlen, Jahresber. Deutsch. Math. Verein, 6(1897), 83-88.
- D. H. Hyers, On the stability of the linear functional equation, Proc. Nat. Acad. Sci. U. S. A., 27(1941), 222-224. https://doi.org/10.1073/pnas.27.4.222
- D. H. Hyers, G. Isac and Th. M. Rassias, Stability of Functional Equations in Several Variables, Birkhauser, Basel, 1998.
- S. -M. Jung, Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis, Hadronic Press, Palm Harbor, 2001.
- A. Khrennikov, Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models, Kluwer Academic Publishers, Dordrecht, 1997.
- H. -M. Kim, On the stability for mixed type of quartic and quadratic functional equation, J. Math. Anal. Appl., 324(2006), 358-372. https://doi.org/10.1016/j.jmaa.2005.11.053
- S. H. Lee, S. M. Im and I. S. Hwang, Quartic functional equations, J. Math. Anal. Appl., 307(2)(2005), 387-394. https://doi.org/10.1016/j.jmaa.2004.12.062
- A. K. Mirmostafaee, M. Mirzavaziri and M. S. Moslehian, Fuzzy stability of the Jensen functional equation, Fuzzy Sets and Systems, 159(2008), 730-738. https://doi.org/10.1016/j.fss.2007.07.011
- A. K. Mirmostafaee and M. S. Moslehian, Fuzzy versions of Hyers-Ulam-Rassias theorem, Fuzzy Sets and Systems, 159(2008), 720-729. https://doi.org/10.1016/j.fss.2007.09.016
- M. S. Moslehian and Th. M. Rassias, Stability of functional equations in non-Archimedean spaces Appl. Anal. Discrete Math., 1(2007), 325-334. https://doi.org/10.2298/AADM0702325M
- L. Narici and E. Beckenstein, Strange terrain-non-Archimedean spaces, Amer. Math. Monthly, 88(9)(1981), 667-676. https://doi.org/10.2307/2320670
- A. Najati, On the stability of a quartic functional equation, J. Math. Anal. Appl., 340(1)(2008), 569-574. https://doi.org/10.1016/j.jmaa.2007.08.048
- C. Park, On the stability of the orthogonally quartic functional equation Bull. Iranian Math. Soc., 31(1)(2005), 63-70.
- J. M. Rassias, Solution of the Ulam stability problem for quartic mappings, Glas. Mat. Ser. III, 34(54)(2)(1999), 243-252.
- Th. M. Rassias, On the stability of functional equations and a problem of Ulam, Acta Appl. Math., 62(1)(2000), 23-130. https://doi.org/10.1023/A:1006499223572
- Th. M. Rassias, Functional Equations, Inequalities and Applications, Kluwer Academic Publishers, Dordrecht, Boston and London, 2003.
-
S. M. Ulam, Problems in Modern Mathematics (Chapter VI, Some Questions in Analysis:
$\S1$ , Stability), Science Editions, John Wiley & Sons, New York, 1964.
Cited by
- Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional Equation vol.2011, 2011, https://doi.org/10.1155/2011/326951
- Hyers-Ulam Stability of Cubic Mappings in Non-Archimedean Normed Spaces vol.50, pp.2, 2010, https://doi.org/10.5666/KMJ.2010.50.2.315
- Stability of Cauchy–Jensen type functional equation in generalized fuzzy normed spaces vol.62, pp.8, 2011, https://doi.org/10.1016/j.camwa.2011.07.072
- Functional inequalities in non-Archimedean Banach spaces vol.23, pp.10, 2010, https://doi.org/10.1016/j.aml.2010.06.005
- APPROXIMATELY QUINTIC AND SEXTIC MAPPINGS ON THE PROBABILISTIC NORMED SPACES vol.49, pp.2, 2012, https://doi.org/10.4134/BKMS.2012.49.2.339
- On the stability of pexider functional equation in non-archimedean spaces vol.2011, pp.1, 2011, https://doi.org/10.1186/1029-242X-2011-17