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A FIXED POINT APPROACH TO THE STABILITY OF AN EQUATION OF THE SQUARE SPIRAL

Authors
Jung, Soon-Mo
Issue Date
Nov-2007
Publisher
TUSI MATHEMATICAL RESEARCH GROUP
Keywords
Hyers-Ulam-Rassias stability; square root spiral; fixed point method
Citation
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, v.1, no.2, pp.148 - 153
Journal Title
BANACH JOURNAL OF MATHEMATICAL ANALYSIS
Volume
1
Number
2
Start Page
148
End Page
153
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/24323
DOI
10.15352/bjma/1240336212
ISSN
1735-8787
Abstract
Cadariu and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we adopt the idea of Cadariu and Radu to prove the Hyers-Ulam-Rassias stability of a functional equation of the square root spiral, f(root r(2) + 1) = f(r) + tan(-1) (1/r).
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