Fixed Points in Functional Inequalities
Using fixed point methods, we prove the generalized Hyers-Ulam stability of the following functional inequalities ‖f(x)+f(y)+f(z)‖≤‖f(x+y+z)‖ and ‖f(x)+f(y)+2f(z)‖≤‖2f((x+y)/2+z)‖ in the...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2009-02-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/298050 |
| Summary: | Using fixed point methods, we prove the generalized Hyers-Ulam stability of the following functional inequalities ‖f(x)+f(y)+f(z)‖≤‖f(x+y+z)‖ and ‖f(x)+f(y)+2f(z)‖≤‖2f((x+y)/2+z)‖ in the spirit of Th. M. Rassias stability approach. |
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| ISSN: | 1025-5834 1029-242X |