References
- J.-H. Bae, On the stability of 3-dimensional quadratic functional equations, Bull. Korean Math. Soc., Vol. 37 (2000), 477-486.
- J.-H. Bae, K.-W. Jun. On the generalized Hyers-Ulam-Rassias stability of a quadratic func- tional equation, Bull. Korean Math. Soc., Vol. 38 (2001), 325-336.
- J.-H. Bae and I.-S. Chang, On the Ulam stability problem of a quadratic functional equation, Korean. J. Comput. & Appl. Math. (Series A), Vol. 8, (2001), 561-567.
- J.-H. Bae and Y.-S. Jung, THE Hyers-Ulam stability of the quadratic functional equations on abelian groups, Bull. Korean Math. Soc. 39, Vol. (2002), No.2, 199-209. https://doi.org/10.4134/BKMS.2002.39.2.199
- B. Belaid, E. Elhoucien, and Th. M. Rassias, On the genaralized Hyers-Ulam stability of the quadratic functional equation with a general involution, Nonlinear Funct. Anal. Appl., Vol. 12, (2007), 247-262.
- Y. Benyamini, J. Lindenstraauss, Geometric Nonlinear Analysis, Vol. 1 ,Colloq. Publ., Vol. 48, Amer. Math. Soc., Providence, 2000.
- L. Cadariu and V. Radu, Fixed points and the stability of Jensens functional equation, J. Ineq. in Pure and Appl. Math., Vol. 4, (2003), No. 1, article 4, 7 pages.
- S. Czerwik, On the stability of the quadratic mapping in normed spaces, Abh. Math. Sem. Univ. Hamburg, Vol. 62, (1992), 59-64. https://doi.org/10.1007/BF02941618
- S. Czerwik, Stability of Functional Equations of Ulam-Hyers-Rassias Type, Hadronic Press, Palm Harbor, Florida, 2003.
- M. Eshaghi Gordji, H. Khodaei, Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces, Nonlinear Analysis: Theory, Methods & Applications, Vol. 71 (2009), No 11-1, 5629-5643.
- G.L. Forti, Hyers-Ulam stability of functional equations in several variables Aequationes Math., Vol. 50, (1995), No. 1-2, 143-190. https://doi.org/10.1007/BF01831117
- D.H. Hyers and Th.M. Rassias, Approximate homomorphisms, Aequationes Math., Vol. 44, (1992), 125-153. https://doi.org/10.1007/BF01830975
- D.H. Hyers, G. Isac and Th.M. Rassias, Stability of Functional Equations in Several Variables, Birkhauser, Basel, 1998.
- K.-W. Jun, H.-M. Kim, On the stability of Euler-Lagrange type cubic mappings in quasiBanach spaces, J. Math. Anal. Appl., Vol. 332, (2007), No. 15(2), 1335-1350.
- S.-M. Jung, Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis, Hadronic Press lnc., Palm Harbor, Florida, 2001.
- S.-M. Jung, Z.-H. Lee, A Fixed Point Approach to the Stability of Quadratic Functional Equation with Involution, Fixed Point Theory and Applications, Volume 2008, Article ID 732086, 11 pages. doi:10.1155/2008/732086
- B. Margolis and J. Diaz, A fixed point theorem of the alternative for contractions on a generalized complete metric space, Bull. Amer. Math. Soc., Vol. 74, (1968), 305-309. https://doi.org/10.1090/S0002-9904-1968-11933-0
- M.S. Moslehian, Approximately vanishing of topological cohomology groups, J. Math. Anal. Appl., Vol. 318, (2006), No. 2, 758- 771. https://doi.org/10.1016/j.jmaa.2005.06.018
- M.S. Moslehian and Gh. Sadeghi, Stability of linear mappings in quasi-Banach modules, Math. Inequal. Appl., Vol. 11, (2008), No. 3, 549557.
- A. Najati, C. Park, Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation, J. Math. Anal. and Appl., Vol. 335, (2007), No. 15(2), 763-778.
- A. Najati, G. Zamani Eskandani Stability of a mixed additive and cubic functional equation in quasi-Banach spaces, J. Math. Anal. Appl., Vol. 342, (2008), No. 15(2), 1318-1331.
- Th.M. Rassias, On the stability of functional equations and a problem of Ulam, Acta Appl. Math., Vol. 62, (2000), No. 1, 23-130. https://doi.org/10.1023/A:1006499223572
- Th.M. Rassias, Functional Equations, Inequalities and Applications, Kluwer Academic Publishers, Dordrecht, Boston and London, 2003.
-
J. Michael Rassias, H.-M. Kim, Generalized HyersUlam stability for general additive functional equations in quasi-
$\beta$ -normed spaces, J. Math. Anal. Appl., Vol. 356, (2009), No. 1(1), 302-309. https://doi.org/10.1016/j.jmaa.2009.03.005 - H. Stetker, Functional equations on abelian groups with involution, Aequationes Mathematicae, Vol. 54, (1997), No. 1-2, 144-172. https://doi.org/10.1007/BF02755452
- J. Tabor, , Stability of the Cauchy functional equations in quasi-Banach spaces, Ann. Polon. Math., Vol. 50 (2004), 243-255.
- G. Zamani Eskandani, On the Hyers-Ulam-Rassias stability of an additive functional equa- tion in quasi-Banach spaces, J. Math. Anal. Appl., Vol. 345, (2008), No. 1(1), 405-409. https://doi.org/10.1016/j.jmaa.2008.03.039