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 and V. Radu, Fixed points and the stability of Jensen's functional equation, J. Inequal. Pure Appl. Math., 4(2003), article 4.
- L. Cadariu and V. Radu, Fixed points and the stability of quadratic functional equations, An. Univ. Timisoara Ser. Mat.-Inform., 41(2003), 25-48.
- J. B. Diaz and B. Margolis, A fixed point theorem of the alternative for contractions on a generalized complete metric space, Bull. Amer. Math. Soc., 74(1968), 305-309. https://doi.org/10.1090/S0002-9904-1968-11933-0
- P. Gavruta, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl., 184(1994), 431-436. https://doi.org/10.1006/jmaa.1994.1211
- D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci. USA, 27(1941), 222-224. https://doi.org/10.1073/pnas.27.4.222
- K. -W. Jun and H. -M. Kim, On the Hyers-Ulam stability of a generalized quadratic and additive functional equation, Bull. Korean Math. Soc., 42(2005), 133-148. https://doi.org/10.4134/BKMS.2005.42.1.133
- K. -W. Jun and H. -M. Kim, On the stability of a general quadratic functional equation and applications, J. Chungcheong Math. Soc., 17(2004), 57-75.
- K. -W. Jun and Y. -H. Lee, A generalization of the Hyers-Ulam-Rassias stability of the Pexiderized quadratic equations, II, Kyungpook Math. J., 47(2007), 91-103.
- K. -W. Jun Y. -H. Lee, and J. R. Lee, On the stability of a new Pexider type functional equation, J. Inequal. Appl., 2008, ID 816963, 22pages.
- G. -H. Kim, On the stability of functional equations with square-symmetric operation, Math. Inequal. Appl., 4(2001), 257-266.
- Y. -H. Lee, On the stability of the monomial functional equation, Bull. Korean Math. Soc., 45(2008), 397-403. https://doi.org/10.4134/BKMS.2008.45.2.397
- Y. H. Lee and K. W. Jun, A generalization of the Hyers-Ulam-Rassias stability of Jensen's equation, J. Math. Anal. Appl., 238(1999), 305-315. https://doi.org/10.1006/jmaa.1999.6546
- Y. H. Lee and K. W. Jun, A generalization of the Hyers-Ulam-Rassias stability of Pexider equation, J. Math. Anal. Appl., 246(2000), 627-638. https://doi.org/10.1006/jmaa.2000.6832
- Y. H. Lee and K. W. Jun, A note on the Hyers-Ulam-Rassias stability of Pexider equation, J. Korean Math. Soc., 37(2000), 111-124.
- Y. H. Lee and K. W. Jun, On the stability of approximately additive mappings, Proc. Amer. Math. Soc., 128(2000), 1361-1369. https://doi.org/10.1090/S0002-9939-99-05156-4
- Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., 72(1978), 297-300. https://doi.org/10.1090/S0002-9939-1978-0507327-1
- I. A. Rus, Principles and applications of fixed point theory, Ed. Dacia, Cluj-Napoca 1979, (in Romanian).
- S. M. Ulam, A Collection of Mathematical Problems, Interscience, New York, 1960.