References
- A. Bahyrycz and M. Piszczek, Hyperstability of the Jensen functional equation, Acta Math. Hungar. 142 (2014), no. 2, 353-365. https://doi.org/10.1007/s10474-013-0347-3
- J. Brzdek, Hyperstability of the Cauchy equation on restricted domains, Acta Math. Hungar. 41, (2013), no. 1-2, 58-67. https://doi.org/10.1007/s10474-013-0302-3
- J. Brzdek, J. Chudziak, and Zs. Pales, A fixed point approach to stability of functional equations, Nonlinear Anal. 74 (2011), no. 17, 6728-6732. https://doi.org/10.1016/j.na.2011.06.052
- J. Brzdek and K. Cieplinski, Hyperstability and Superstability, Abstr. Appl. Anal. 2013 (2013), Art. ID 401756, 13 pp.
- J. Brzdek and A. Pietrzyk, A note on stability of the general linear equation, Aequationes Math. 75 (2008), no. 3, 267-270. https://doi.org/10.1007/s00010-007-2894-6
- P. Gavruta, A generalization of the Hyers-Ulam-Rassias stability of approximately ad- ditive mapping, J. Math. Anal. Appl. 184 (1994), no. 3, 431-436. https://doi.org/10.1006/jmaa.1994.1211
- P. Gavruta, An answer to a question of John M. Rassias concerning the stability of Cauchy equation, Advances in Equations and Inequalities, Hadronic Math. Ser. 1999.
- D. H. Hyers, G. Isac, and Th. M. Rassias, Stability of Functional Equations in Several Variables, Birkhauser, Boston-Basel-Berlin, 1998.
- S. M. Jung, Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis, Hadronic Press, Palm Harbor, 2001.
- M. Kuczma, An introduction to the Theory of Functional Equation and Inequalities, PWN, Warszawa-Krakow-Katowice, 1985.
- P. Nakmahachalasint, Hyers-Ulam-Rassias stability and Ulam-Gavruta-Rassias stabili- ties of additive functional equation in several variables, Int. J. Math. Sci. 2007 (2007), Art. ID 13437, 6pp.
- M. Piszczek, Remark on hyperstability of the general linear equation, Aequationes Math. 88 (2014), no. 1-2, 163-168. https://doi.org/10.1007/s00010-013-0214-x
- D. Popa, Hyers-Ulam-Rassias stability of the general linear equation, Nonlinear Funct. Anal. Appl. 7 (2002), no. 4, 581-588.
- D. Popa, On the stability of the general linear equation, Results Math. 53 (2009), no. 3-4, 383-389. https://doi.org/10.1007/s00025-008-0349-6
- J. M. Rassias, On approximation of approximately linear mappings, J. Funct. Anal. 46 (1982), no. 1, 126-130. https://doi.org/10.1016/0022-1236(82)90048-9
- J. M. Rassias, Solution of a problem of Ulam, J. Approx. Theory 57 (1989), no. 3, 268-273. https://doi.org/10.1016/0021-9045(89)90041-5
- K. Ravi and M. Arunkumar, On the Ulam-Gavruta-Rassias stability of the orthogonally Euler-Lagrange type functional equation, Int. J. Appl. Math. Stat. 7 (2007), 143-156.
- K. Ravi and B. V. Senthil Kumar, Ulam-Gavruta-Rassias stability of Rassias Reciprocal functional equation, Glob. J. App. Math. Sci. 3 (2010), 57-79.
- M. Ait Sibaha, B. Bouikhalene, and E. Elqorachi, Ulam-Gavruta-Rassias stability of a linear functional equation, Int. J. Appl. Math. Stat. 7 (2007), 157-166.
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