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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.

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Bibliografski detalji
Glavni autori: A. Ebadian, N. Ghobadipour, Th. M. Rassias, M. Eshaghi Gordji
Format: Artigo
Jezik:Inglês
Izdano: Wiley 2011-01-01
Serija:Discrete Dynamics in Nature and Society
Online pristup:http://dx.doi.org/10.1155/2011/929824
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