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Stability of quadratic functional equations in random normed spacesStability of quadratic functional equations in random normed spaces

Other Titles
Stability of quadratic functional equations in random normed spaces
Authors
신승원기도형장재원김민준박춘길
Issue Date
Dec-2010
Publisher
강원경기수학회
Keywords
random Banach space; quadratic functional equation; generalized Hyers-Ulam stability; quadratic mapping
Citation
한국수학논문집, v.18, no.4, pp 395 - 407
Pages
13
Indexed
KCICANDI
Journal Title
한국수학논문집
Volume
18
Number
4
Start Page
395
End Page
407
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/203403
ISSN
1976-8605
2288-1433
Abstract
In this paper, we prove the generalized Hyers-Ulam stability of the following quadratic functional equations cf(∑ni=1xi)+∑nj=2f(∑ni=1xi-(n + c - 1)xj)=(n + c - 1)(f(x1) + c∑ni=2f(xi) + ∑ni<j,j=3(∑n-1i=2f(xi - xj))),Q(∑ni=1dixi)+∑1≤i<j≤n didjQ(xi - xj) = (∑ni=1 di)(∑ni=1 diQ(xi))in random normed spaces.
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