참고문헌
- J. Aczel & J. Dhombres: Functional Equations in Several Variables. Cambridge University Press, Cambridge, 1989.
- 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
- Y. Benyamini & J. Lindenstrauss: Geometric Nonlinear Functional Analysis. vol. 1, Am. Math. Soc. Colloq. Publ. 48, Am. Math. Soc., Providence, RI, 2000.
- P.W. Cholewa: Remarks on the stability of functional equations. Aequationes Math. 27 (1984), 76-86. https://doi.org/10.1007/BF02192660
- Y. Cho, C. Park & R. Saadati: Functional inequalities in non-Archimedean Banach spaces. Appl. Math. Lett. 60 (2010), 1994-2002.
- S. Czerwik: On the stability of the quadratic mapping in normed spaces. Abh. Aus. Math. Sem. Univ. Hamburg 62 (1992), 59-64. https://doi.org/10.1007/BF02941618
- V. Govindan, S. Murthy & M. Saravanan: Solution and stability of a cubic type functional equation: Using direct and fixed point methods, Kragujevac J. Math. 44 (2020), 7-26. https://doi.org/10.46793/KgJMat2001.007G
- D.H. Hyers: On the stability of the linear functional equation. Proc. Nat. Acad. Sci. USA 27 (1941), 222-224. https://doi.org/10.1073/pnas.27.4.222
- A. Najati & G.Z. Eskandani: Stability of a mixed additive and cubic functional equation in quasi-Banach spaces. J. Math. Anal. Appl. 342 (2008), 1318-1331. https://doi.org/10.1016/j.jmaa.2007.12.039
- C. Park: Isomorphisms between quasi-Banach algebras. Chin. Ann. Math. Ser. B 28 (2007), 353-362. https://doi.org/10.1007/s11401-005-0427-y
- C. Park: Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras. Bull. Sci. Math. 132 (2008), 87-96. https://doi.org/10.1016/j.bulsci.2006.07.004
- C. Park & Th. M. Rassias: Homomorphisms and derivations in proper JCQ-triples. J. Math. Anal. Appl. 337 (2008), 1404-1414. https://doi.org/10.1016/j.jmaa.2007.04.063
- S. Pinelas & V. Govindan: Stability of a quartic functional equation. J. Fixed Point Theory Appl. 20 (2018), Art. No. 148. https://doi.org/10.1007/s11784-018-0629-z.
- Th.M. Rassias: On the stability of functional equations and a problem of Ulam. Acta Appl. Math. 62 (2000), 23-130. https://doi.org/10.1023/A:1006499223572
- Th.M. Rassias & P. Semrl: On the Hyers-Ulam stability of linear mappings. J. Math. Anal. Appl. 173 (1993), 325-338. https://doi.org/10.1006/jmaa.1993.1070
- S. Rolewicz: Metric Linear Spaces. PWN - Polish Sci. Publ., Warszawa, 1984.
- F. Skof: Proprieta locali e approssimazione di operatori. Rend. Semin. 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.