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The Stability of a Quadratic Functional Equation with the Fixed Point Alternativeopen access

Authors
Park, ChoonkilKim, Ji-Hye
Issue Date
Jan-2010
Publisher
HINDAWI PUBLISHING CORPORATION
Citation
ABSTRACT AND APPLIED ANALYSIS, v.2009, pp.1 - 12
Indexed
SCIE
SCOPUS
Journal Title
ABSTRACT AND APPLIED ANALYSIS
Volume
2009
Start Page
1
End Page
12
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/175612
DOI
10.1155/2009/907167
ISSN
1085-3375
Abstract
Lee, An and Park introduced the quadratic functional equation f(2x+y) + f(2x-y) = 8f(x) + 2f(y) and proved the stability of the quadratic functional equation in the spirit of Hyers, Ulam and Th. M. Rassias. Using the fixed point method, we prove the generalized Hyers-Ulam stability of the quadratic functional equation in Banach spaces.
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