Mixed Type Of Additive And Quintic Functional Equations

[1] Aoki T., On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan. 2 (1950), 64–66.Search in Google Scholar

[2] Bodaghi A., Quintic functional equations in non-Archimedean normed spaces, J. Math. Extension 9 (2015), no. 3, 51–63.Search in Google Scholar

[3] Bodaghi A., Moosavi S.M., Rahimi H., The generalized cubic functional equation and the stability of cubic Jordan *-derivations, Ann. Univ. Ferrara 59 (2013), 235–250.10.1007/s11565-013-0185-9Search in Google Scholar

[4] Cădariu L., Radu V., Fixed points and the stability of quadratic functional equations, An. Univ. Timişoara, Ser. Mat. Inform. 41 (2003), 25–48.Search in Google Scholar

[5] Cădariu L., Radu V., On the stability of the Cauchy functional equation: A fixed point approach, Grazer Math. Ber. 346 (2004), 43–52.Search in Google Scholar

[6] Czerwik S., On the stability of the quadratic mapping in normed spaces, Abh. Math. Sem. Univ. Hamburg. 62 (1992), 59–64.10.1007/BF02941618Search in Google Scholar

[7] Hyers D.H., On the stability of the linear functional equation, Proc. Nat. Acad. Sci. USA. 27 (1941), 222–224.10.1073/pnas.27.4.222107831016578012Search in Google Scholar

[8] Hyers D.H., Isac G., Rassias Th.M., Stability of functional equations in several variables, Birkhauser, Boston, 1998.10.1007/978-1-4612-1790-9Search in Google Scholar

[9] Jung S.-M., Hyers–Ulam–Rassias stability of functional equations in nonlinear analysis, Springer, New York, 2011.10.1007/978-1-4419-9637-4Search in Google Scholar

[10] Kannappan P., Functional equations and inequalities with applications, Springer, New York, 2009.10.1007/978-0-387-89492-8Search in Google Scholar

[11] Najati A., Moghimi M.B., Stability of a functional equation deriving from quadratic and additive functions in quasi-Banach spaces, J. Math. Anal. Appl. 337 (2008), 339–415.10.1016/j.jmaa.2007.03.104Search in Google Scholar

[12] Park C., Cui J., Eshaghi Gordji M., Orthogonality and quintic functional equations, Acta Math. Sinica, English Series 29 (2013), 1381–1390.Search in Google Scholar

[13] Rassias J.M., On approximation of approximately linear mappings by linear mapping, J. Funct. Anal. 46 (1982), no. 1, 126–130.Search in Google Scholar

[14] Rassias J.M., On approximation of approximately linear mappings by linear mappings, Bull. Sci. Math. (2) 108 (1984), no. 4, 445–446.Search in Google Scholar

[15] Rassias Th.M., On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297–300.10.1090/S0002-9939-1978-0507327-1Search in Google Scholar

[16] Rassias Th.M., Brzdęk J., Functional equations in mathematical analysis, Springer, New York, 2012.10.1007/978-1-4614-0055-4Search in Google Scholar

[17] Ulam S.M., Problems in modern mathematics, Chapter VI, Science Ed., Wiley, New York, 1940.Search in Google Scholar

[18] Xu T.Z., Rassias J.M., Rassias M.J., Xu W.X., A fixed point approach to the stability of quintic and sextic functional equations in quasi-β-normed spaces, J. Inequal. Appl. (2010), Article ID 423231, 23 pp, doi:10.1155/2010/423231.10.1155/2010/423231Search in Google Scholar