A Fixed Point Approach to the Stability of Quintic and Sextic Functional Equations in Quasi-<inline-formula> <graphic file="1029-242X-2010-423231-i1.gif"/></inline-formula>-Normed Spaces

<p/> <p>We achieve the general solution of the quintic functional equation <inline-formula> <graphic file="1029-242X-2010-423231-i2.gif"/></inline-formula> and the sextic functional equation <inline-formula> <graphic file="1029-242X-2010-423231-i...

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Bibliographic Details
Main Authors: Rassias JohnMichael, Rassias MatinaJohn, Xu WanXin, Xu TianZhou
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2010/423231
Description
Summary:<p/> <p>We achieve the general solution of the quintic functional equation <inline-formula> <graphic file="1029-242X-2010-423231-i2.gif"/></inline-formula> and the sextic functional equation <inline-formula> <graphic file="1029-242X-2010-423231-i3.gif"/></inline-formula>. Moreover, we prove the stability of the quintic and sextic functional equations in quasi-<inline-formula> <graphic file="1029-242X-2010-423231-i4.gif"/></inline-formula>-normed spaces via fixed point method.</p>
ISSN:1025-5834
1029-242X