Approximate Homomorphisms and Derivations on Normed Lie Triple Systems

作者: Hark-Mahn Kim , Juri Lee

DOI: 10.1155/2014/754291

关键词:

摘要: We investigate the generalized Hyers-Ulam stability of homomorphisms and derivations on normed Lie triple systems for following Cauchy-Jensen additive equation , where are nonzero real numbers. As a results, we generalize some results concerning this equation.

参考文章(35)
Janusz Brzdȩk, Hyperstability of the Cauchy equation on restricted domains Acta Mathematica Hungarica. ,vol. 141, pp. 58- 67 ,(2013) , 10.1007/S10474-013-0302-3
Rasoul Aghalary, Ali Ebadian, Javad Shokri, Hyers-Ulam-Rassias Stability of Homomorphisms and Derivations on Normed Lie Triple Systems Thai Journal of Mathematics. ,vol. 9, pp. 449- 460 ,(2012)
Mohammad Bagher Ghaemi, Ali Ebadian, Simin Shams, Saeid, Kaboli Gharetapeh, Madjid Eshaghi Gordji, On the stability of J∗-derivations Journal of Geometry and Physics. ,vol. 60, pp. 454- 459 ,(2010) , 10.1016/J.GEOMPHYS.2009.11.004
Themistocles M. Rassias, On the stability of the linear mapping in Banach spaces Proceedings of the American Mathematical Society. ,vol. 72, pp. 297- 300 ,(1978) , 10.1090/S0002-9939-1978-0507327-1
Anna Bahyrycz, Magdalena Piszczek, Hyperstability of the Jensen functional equation Acta Mathematica Hungarica. ,vol. 142, pp. 353- 365 ,(2014) , 10.1007/S10474-013-0347-3
Wojciech Jabłoński, Sum of graphs of continuous functions and boundedness of additive operators Journal of Mathematical Analysis and Applications. ,vol. 312, pp. 527- 534 ,(2005) , 10.1016/J.JMAA.2005.03.053
N.C. Hopkins, Nilpotent Ideals in Lie and Anti-Lie Triple Systems Journal of Algebra. ,vol. 178, pp. 480- 492 ,(1995) , 10.1006/JABR.1995.1361