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Fixed Points and Stability of a Generalized Quadratic Functional Equationopen access

Authors
Najati, AbbasPark, Choonkil
Issue Date
Feb-2009
Publisher
SPRINGER
Citation
JOURNAL OF INEQUALITIES AND APPLICATIONS, pp.1 - 19
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF INEQUALITIES AND APPLICATIONS
Start Page
1
End Page
19
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/177263
DOI
10.1155/2009/193035
ISSN
1025-5834
Abstract
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the generalized quadratic functional equation f (rx + sy) = r(2)f (x) + s(2)f (y) + (rs/2) [f(x + y) - f (x - y)] in Banach modules, where r, s are nonzero rational numbers with r(2) + s(2) not equal 1.
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