caa a22 4500 605508445 CHVBK 20210128100636.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00010-013-0245-3 doi (NATIONALLICENCE)springer-10.1007/s00010-013-0245-3 A note on stability of Fischer-Muszély functional equation [Elektronische Daten] [Yunbai Dong, Qingjin Cheng] Recently, Dong (Aequ Math 86:269-277, 2013) has proved the generalized stability of the functional equation $${\|f(x + y)\| = \|f(x) + f(y)\|}$$ ‖ f ( x + y ) ‖ = ‖ f ( x ) + f ( y ) ‖ under the assumption that X, the domain of f, is an Abelian group. In this paper, we prove a generalization of this result by removing the commutativity assumption of X. Springer Basel, 2014 Hyers-Ulam stability nationallicence functional equations nationallicence Banach spaces nationallicence Dong Yunbai School of Mathematics and Computer, Wuhan Textile University, 430073, Wuhan, China aut Cheng Qingjin School of Mathematical Sciences, Xiamen University, 361005, Xiamen, China aut Aequationes mathematicae Springer Basel 89/3(2015-06-01), 605-612 0001-9054 89:3<605 2015 89 10 https://doi.org/10.1007/s00010-013-0245-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00010-013-0245-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dong Yunbai School of Mathematics and Computer, Wuhan Textile University, 430073, Wuhan, China aut NATIONALLICENCE 700 1- Cheng Qingjin School of Mathematical Sciences, Xiamen University, 361005, Xiamen, China aut NATIONALLICENCE 773 0- Aequationes mathematicae Springer Basel 89/3(2015-06-01), 605-612 0001-9054 89:3<605 2015 89 10