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Hyperstability results for a generalized radical cubic functional equation related to additive mapping in non-Archimedean Banach spaces

Authors
Almahalebi, MuaadhCharifi, AhmedPark, ChoonkilKabbaj, Samir
Issue Date
Mar-2018
Publisher
SPRINGER BASEL AG
Keywords
Hyers-Ulam stability; hyperstability; non-Archimedean space; fixed point method; radical functional equation
Citation
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, v.20, no.1, pp.1 - 13
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
Volume
20
Number
1
Start Page
1
End Page
13
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/150433
DOI
10.1007/s11784-018-0524-7
ISSN
1661-7738
Abstract
The aim of this paper is to introduce and solve the following generalized radical cubic functional equation f((3)root(k)Sigma(i=1)x(i)(3)) = (k)Sigma(i=1)f(x(i)), k is an element of N-2. We also investigate some hyperstability results for this equation in non-Archimedean Banach spaces.
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