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Stability of a generalized Drygas functional equation via Brzdek's fixed point method

Authors
Dehghanian, MehdiPark, ChoonkilSayyari, Yamin
Issue Date
Mar-2025
Publisher
SPRINGER HEIDELBERG
Keywords
Brzdek fixed point theorem; Drygas functional equation; Hyers-Ulam stability
Citation
AFRIKA MATEMATIKA, v.36, no.1, pp 1 - 15
Pages
15
Indexed
SCOPUS
ESCI
Journal Title
AFRIKA MATEMATIKA
Volume
36
Number
1
Start Page
1
End Page
15
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/210438
DOI
10.1007/s13370-025-01246-4
ISSN
1012-9405
2190-7668
Abstract
Using the Brzdek fixed point theorem, we establish the Hyers-Ulam stability of the following generalized Drygas functional equation F(x+sigma(y))+F(x+tau(y))=2F(x)+F(sigma(y))+F(tau(y))}for all x,y is an element of X, where sigma,tau:X -> X are additive isometries.
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