참고문헌
- 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, L. Gavruta & P. Gavruta: On the stability of an affine functional equation. J. Nonlinear Sci. Appl. 6 (2013), 60-67. https://doi.org/10.22436/jnsa.006.02.01
- L. Cadariu & V. Radu: Fixed points and the stability of Jensen's functional equation. J. Inequal. Pure Appl. Math. 4, no. 1, Art. ID 4 (2003).
- L. Cadariu & V. Radu: On the stability of the Cauchy functional equation: a fixed point approach. Grazer Math. Ber. 346 (2004), 43-52.
- L. Cadariu & V. Radu: Fixed point methods for the generalized stability of functional equations in a single variable. Fixed Point Theory Appl. 2008, Art. ID 749392 (2008).
- A. Chahbi & N. Bounader: On the generalized stability of d'Alembert functional equation. J. Nonlinear Sci. Appl. 6 (2013), 198-204. https://doi.org/10.22436/jnsa.006.03.05
- P.W. Cholewa: Remarks on the stability of functional equations. Aequationes Math. 27 (1984), 76-86. https://doi.org/10.1007/BF02192660
- J. Diaz & 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. G.avruta: 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. U.S.A. 27 (1941), 222-224. https://doi.org/10.1073/pnas.27.4.222
- G. Isac & Th.M. Rassias: Stability of A-additive mappings: Applications to nonlinear analysis. Internat. J. Math. Math. Sci. 19 (1996), 219-228. https://doi.org/10.1155/S0161171296000324
- D. Mihet & V. Radu: On the stability of the additive Cauchy functional equation in random normed spaces. J. Math. Anal. Appl. 343 (2008), 567-572. https://doi.org/10.1016/j.jmaa.2008.01.100
-
C. Park: Additive
${\rho}$ -functional inequalities and equations. J. Math. Inequal. 9 (2015), 17-26. -
C. Park: Additive
${\rho}$ -functional inequalities in non-Archimedean normed spaces. J. Math. Inequal. 9 (2015), 397-407. - V. Radu: The fixed point alternative and the stability of functional equations. Fixed Point Theory 4 (2003), 91-96.
- 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
- F. Skof: Propriet locali e approssimazione di operatori. Rend. Sem. Mat. Fis. Milano 53 (1983), 113-129. https://doi.org/10.1007/BF02924890
- S.M. Ulam: A Collection of the Mathematical Problems. Interscience Publ. New York, 1960.
- C. Zaharia: On the probabilistic stability of the monomial functional equation. J. Non-linear Sci. Appl. 6 (2013), 51-59. https://doi.org/10.22436/jnsa.006.01.08