A note on stability of Fischer-Muszély functional equation
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| 024 | 7 | 0 | |a 10.1007/s00010-013-0245-3 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-013-0245-3 | ||
| 245 | 0 | 2 | |a A note on stability of Fischer-Muszély functional equation |h [Elektronische Daten] |c [Yunbai Dong, Qingjin Cheng] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Basel, 2014 | ||
| 690 | 7 | |a Hyers-Ulam stability |2 nationallicence | |
| 690 | 7 | |a functional equations |2 nationallicence | |
| 690 | 7 | |a Banach spaces |2 nationallicence | |
| 700 | 1 | |a Dong |D Yunbai |u School of Mathematics and Computer, Wuhan Textile University, 430073, Wuhan, China |4 aut | |
| 700 | 1 | |a Cheng |D Qingjin |u School of Mathematical Sciences, Xiamen University, 361005, Xiamen, China |4 aut | |
| 773 | 0 | |t Aequationes mathematicae |d Springer Basel |g 89/3(2015-06-01), 605-612 |x 0001-9054 |q 89:3<605 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-013-0245-3 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00010-013-0245-3 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Dong |D Yunbai |u School of Mathematics and Computer, Wuhan Textile University, 430073, Wuhan, China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Cheng |D Qingjin |u School of Mathematical Sciences, Xiamen University, 361005, Xiamen, China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer Basel |g 89/3(2015-06-01), 605-612 |x 0001-9054 |q 89:3<605 |1 2015 |2 89 |o 10 | ||