Nearly Derivations on Banach Algebras
Let 𝑛 be a fixed integer greater than 3 and let 𝜆 be a real number with 𝜆≠(𝑛2−𝑛+4)/2. We investigate the Hyers-Ulam stability of derivations on Banach algebras related to the following generalized Cauchy functional inequality ‖∑1≤𝑖<𝑗≤𝑛1≤𝑘𝑙≠𝑖,𝑗≤𝑛𝑓((𝑥𝑖+𝑥𝑗∑)/2+𝑛−2𝑙=1𝑥𝑘𝑙∑)+𝑓(𝑛𝑖=2𝑥𝑖)+𝑓(𝑥1∑)‖≤‖𝜆𝑓(𝑛𝑖=1𝑥...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/864340 |