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Quadratic f-hom-ders in Banach Algebra Related to System of Quadratic Functional Equationsopen access

Authors
Park, ChoonkilDonganont, SirilukMin, Se Won
Issue Date
Jan-2025
Publisher
New York Business Global
Keywords
fixed point method; Hyers-Ulam stability; quadratic f-hom-der; system of quadratic functional equations
Citation
European Journal of Pure and Applied Mathematics, v.18, no.1, pp 1 - 10
Pages
10
Indexed
SCOPUS
ESCI
Journal Title
European Journal of Pure and Applied Mathematics
Volume
18
Number
1
Start Page
1
End Page
10
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/212547
DOI
10.29020/nybg.ejpam.v18i1.5719
ISSN
1307-5543
Abstract
Mirzavaziri and Moslehian [13] introduced the concept of f-derivations and Sripattanet et al. [18] introduced a quadratic hom-der in Banach algebras. In this paper, we solve the system of quadratic functional equations (Formula presented), Using Mirzavaziri and Moslehian’s idea and Sripattanet et al.’s idea, we define a quadratic f-homder in Banach algebras, and we investigate the Hyers-Ulam stability of quadratic f-hom-ders in Banach algebras.
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