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A fixed point approach to stability of additive mappings in modular spaces without Δ₂-conditionsA fixed point approach to stability of additive mappings in modular spaces without Δ2-conditions

Other Titles
A fixed point approach to stability of additive mappings in modular spaces without Δ2-conditions
Authors
Park, ChoonkilBodaghi, AbasaltKim, Sang Og
Issue Date
Jun-2018
Publisher
Kluwer Academic Publishers
Keywords
generalized Ulam-Hyers-Rassias stability; additive mapping; modular space; fixed point
Citation
Journal of Computational Analysis and Applications, v.24, no.6, pp 1038 - 1048
Pages
11
Indexed
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
24
Number
6
Start Page
1038
End Page
1048
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/149898
ISSN
1521-1398
1572-9206
Abstract
In this article, we prove the generalized Hyers-Ulam-Rassias stability of the following equivalent functional equations f(x + y) = f(x) + f(y), (Formula presented) via fixed point method. We obtain the result in the framework of modular spaces without Δ2-conditions.
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