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THE FIXED POINT ALTERNATIVE TO THE STABILITY OF AN ADDITIVE (alpha,beta)-FUNCTIONAL EQUATION

Title
THE FIXED POINT ALTERNATIVE TO THE STABILITY OF AN ADDITIVE (alpha,beta)-FUNCTIONAL EQUATION
Author
김희식
Keywords
Hyers-Ulam stability; additive (alpha, beta)-functional equation; fixed point method; direct method; Banach space
Issue Date
2017-06
Publisher
EUDOXUS PRESS
Citation
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v. 23, no. 6, page. 1008-1015
Abstract
In this paper, we solve the additive (alpha, beta)-functional equationf(x) + f(y) + 2f(z) = alpha f(beta(x + y + 2z)), (0.1)where alpha,beta are fixed real or complex numbers with alpha not equal 4 and alpha beta = 1.Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the additive (alpha,beta)-functional equation (0.1) in Banach spaces.
URI
http://www.eudoxuspress.com/images/JOCAAA-2017-VOL-23-ISSUE-6.pdfhttps://repository.hanyang.ac.kr/handle/20.500.11754/114481
ISSN
1521-1398; 1572-9206
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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