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
- I.-S. Chang, E.-H. Lee, and H.-M. Kim, On Hyers-Ulam-Rassias stability of a quadratic functional equation, Math. Inequal. Appl. 6 (2003), 87-95.
- S. Czerwik, On the stability of the quadratic mapping in normed spaces, Abh. Math. Semin. Univ. Hamb. 62 (1992) 59-64. https://doi.org/10.1007/BF02941618
- 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
- S.-S. Jin and Y.-H. Lee, Generalized Hyers-Ulam stability of a 3-dimensional quadratic functional equation, Int. J. Math. Anal. (Ruse), 10 (2016), 719-728. https://doi.org/10.12988/ijma.2016.6346
- S.-S. Jin and Y.-H. Lee, Generalized Hyers-Ulam stability of a 3-dimensional quadratic functional equation in modular spaces, Int. J. Math. Anal. (Ruse), 10 (2016), 953-963. https://doi.org/10.12988/ijma.2016.6461
- S.-S. Jin and Y.-H. Lee, Hyers-Ulam-Rassias stability of a functional equation related to general quadratic mappings, Honam Math. J. 39 (2017), 417-430.
- S.-S. Jin and Y.-H. Lee, Stability of a functional equation related to quadratic mappings, Int. J. Math. Anal. (Ruse), 11 (2017), 55-68. https://doi.org/10.12988/ijma.2017.610116
- S.-S. Jin and Y.-H. Lee, Stability of two generalized 3-dimensional quadratic functional equations, J. Chungcheong Math. Soc. 31 (2018), 29-42.
- 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.
- S.-M. Jung, On the Hyers-Ulam stability of the functional equations that have the quadratic property, J. Math. Anal. Appl. 222 (1998), no. 1, 126-137. https://doi.org/10.1006/jmaa.1998.5916
- 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
- K. Nikodem, K-convex and K-concave set valued functions, Zeszyty Naukowe Nr. 559 (1989).
- C. Park, D. O'Regan, and R. Saadati, Stability of some set-valued functional equations, Applied Mathematics Letters, 24 (2011), 1910-1914. https://doi.org/10.1016/j.aml.2011.05.017
- 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, Local properties and approximations of operators, Rend. Sem. Mat. Fis. Milano, 53 (1983), 113-129. https://doi.org/10.1007/BF02924890
- S. M. Ulam, A Collection of Mathematical Problems, Interscience, New York, 1960.