참고문헌
- M. Adam: On the stability of some quadratic functional equation. J. Nonlinear Sci. Appl. 4 (2011), 50-59. https://doi.org/10.22436/jnsa.004.01.05
- 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. Am. Math. Soc. 74 (1968), 305-309. https://doi.org/10.1090/S0002-9904-1968-11933-0
- G.Z. Eskandani & P. Gavruta: Hyers-Ulam-Rassias stability of pexiderized Cauchy functional equation in 2-Banach spaces. J. Nonlinear Sci. Appl. 5 (2012), 459-465. https://doi.org/10.22436/jnsa.005.06.06
- P. Gavruta: A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings. J. Math. Anal. Appl. 184 (1994), 431-36. 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
$\psi$ -additive mappings: Appications 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: Fixed points and Hyers-Ulam-Rassias stability of Cauchy-Jensen functional equations in Banach algebras. Fixed Point Theory Appl. 2007, Art. ID 50175 (2007).
- C. Park: Generalized Hyers-Ulam-Rassias stability of quadratic functional equations: a fixed point approach. Fixed Point Theory Appl. 2008, Art. ID 493751 (2008).
- C. Park: Orthogonal stability of a cubic-quartic functional equation. J. Nonlinear Sci. Appl. 5 (2012), 28-36. https://doi.org/10.22436/jnsa.005.01.04
-
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. -
C. Park, K. Ghasemi, S.G. Ghaleh & S. Jang: Approximate n-Jordan *-homomorphisms in
$C^*$ -algebras. J. Comput. Anal. Appl. 15 (2013), 365-368. - C. Park, A. Najati & S. Jang: Fixed points and fuzzy stability of an additive-quadratic functional equation. J. Comput. Anal. Appl. 15 (2013), 452-462.
- 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. Am. Math. Soc. 72 (1978), 297-300. https://doi.org/10.1090/S0002-9939-1978-0507327-1
- K. Ravi, E. Thandapani & B.V. Senthil Kumar: Solution and stability of a reciprocal type functional equation in several variables. J. Nonlinear Sci. Appl. 7 (2014), 18-27.
- S. Schin, D. Ki, J. Chang & M. Kim: Random stability of quadratic functional equa- tions: a fixed point approach. J. Nonlinear Sci. Appl. 4 (2011), 37-49. https://doi.org/10.22436/jnsa.004.01.04
-
D. Shin, C. Park & Sh. Farhadabadi: On the superstability of ternary Jordan
$C^*$ -homomorphisms. J. Comput. Anal. Appl. 16 (2014), 964-973. -
D. Shin, C. Park & Sh. Farhadabadi: Stability and superstability of
$J^*$ -homomorphisms and$J^*$ -derivations for a generalized Cauchy-Jensen equation. J. Comput. Anal. Appl. 17 (2014), 125-134. - 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
- S. Zolfaghari: Approximation of mixed type functional equations in p-Banach spaces. J. Nonlinear Sci. Appl. 3 (2010), 110-122. https://doi.org/10.22436/jnsa.003.02.04