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Ulam Stability of a Pexiderized Additive-quadratic Equationopen access

Authors
Dehghanian, MehdiSayyari, YaminDonganont, SirilukPark, Choonkil
Issue Date
Jan-2025
Publisher
New York Business Global
Keywords
Pexiderized additive-quadratic functional equation; Hyers-Ulam stability; fixed point method
Citation
European Journal of Pure and Applied Mathematics, v.18, no.1, pp 1 - 13
Pages
13
Indexed
SCOPUS
ESCI
Journal Title
European Journal of Pure and Applied Mathematics
Volume
18
Number
1
Start Page
1
End Page
13
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/212087
DOI
10.29020/nybg.ejpam.v18i1.5758
ISSN
1307-5543
1307-5543
Abstract
Suppose that E is a normed space. In this work, using Brzd,ek fixed point theorem, we prove the Hyers-Ulam stability of the Pexiderized additive-quadratic functional equation f(x + y) + f(x - y) + h(x + y) = 2f(x) + 2f(y) + h(x) + h(y) for all x,y is an element of E.
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