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A fixed point approach to the stability of an additive cubic functional equation in paranormed spaces

By K. Ravi, J.M. Rassias and R. Jamuna

Abstract

<p>In this paper, using fixed point method we prove the generalized Hyers Ulam Rassias stability of the additive cubic functional equation</p><p>f(x-ky)=k<sup>2</sup>[f(x+y)+ f(x-y)]+2(1- k<sup>2</sup>)f(x)</p> <p>for fixed integers k, with k≠0,±1 in paranormed spaces.</p

Topics: Mathematics, QA1-939, Science, Q
Publisher: Science & Knowledge Publishing Corporation Limited
Year: 2014
OAI identifier: oai:doaj.org/article:cce51af1ce054e1ca12a0563d76964c2
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