Functional Inequalities Associated with Cauchy Additive Functional Equation in Non-Archimedean Spaces
We investigate the generalized Hyers-Ulam stability of the functional inequalities ∥f((x+y+z)/4)+f((3x−y−4z)/4)+f((4x+3z)/4)∥≤∥2f(x)∥ and ∥f((y−x)/3)+f((x−3z)/3)+f((3x+3z−y)/3)∥≤∥f(x)∥ in non-Archimedean normed spaces in the spirit of the Th. M. Rassias stability approach....
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/929824 |