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A FIXED POINT APPROACH TO THE CAUCHY-RASSIAS STABILITY OF GENERAL JENSEN TYPE QUADRATIC-QUADRATIC MAPPINGS

Authors
Park, ChoonkilGordji, M. EshaghiKhodaei, H.
Issue Date
Sep-2010
Publisher
대한수학회
Keywords
Cauchy-Rassias stability; quadratic mapping; fixed point method
Citation
대한수학회보, v.47, no.5, pp 987 - 996
Pages
10
Indexed
SCIE
SCOPUS
KCI
Journal Title
대한수학회보
Volume
47
Number
5
Start Page
987
End Page
996
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/174190
DOI
10.4134/BKMS.2010.47.5.987
ISSN
1015-8634
2234-3016
Abstract
In this paper, we investigate the Cauchy-Rassias stability in Banach spaces and also the Cauchy-Rassias stability using the alternative fixed point for the functional equation: f(sx + ty/2 + rz) + f(sx + ty/2 - rz) + f(sx-ty/2 + rz) + f(sx-ty/2 - rz) = s(2)f(x) + t(2)f(y) + 4r(2)f(z) for any fixed nonzero integers s, t, r with r not equal +/- 1.
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서울 자연과학대학 > 서울 수학과 > 1. Journal Articles

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