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General Solution and Stability of Quattuordecic Functional Equation in Quasi β-Normed Spaces

DOI: 10.4236/apm.2016.612070, PP. 921-941

Keywords: Quattuordecic Functional Equation, Fixed Point Method, Hyers-Ulam Rassias Stability, Quasi-β-Normed Space

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Abstract:

In this paper, we introduce the following quattuordecic functional equation f(x+7y)-14f(x+6y)+91f(x+5y)-364f(x+4y)+1001f(x+3y)-2002f(x+2y)+3003f(x+y)-3432f(x)+3003f(x-y)-2002f(x-2y)+1001f(x-3y)-364f(x-4y)+91f(x-5y)-14f(x-6y)+f(x-7y)=14!f(y), investigate the general solution and prove the stability of this quattuordecic functional equation in quasi β-normed spaces by using the fixed point method.

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