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A fixed point approach to the stability of an AQCQ-functional equation in RN-spaces

Title
A fixed point approach to the stability of an AQCQ-functional equation in RN-spaces
Author
박춘길
Keywords
Random normed space; fixed point; Hyers-Ulam stability; additive-quadratic-cubic-quartic functional equation
Issue Date
2016-07
Publisher
INT SCIENTIFIC RESEARCH PUBLICATIONS
Citation
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS (2016), v. 9, NO. 4, Page. 1787-1806
Abstract
Using the fixed point method, we prove the Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f (x + 2y) + f (x - 2y) = 4f (x + y) + 4f (x - y) - 6f (x) + f (2y) + f (-2y) - 4f (y) - 4f (-y) in random normed spaces. (C) 2016 All rights reserved.
URI
http://www.isr-publications.com/jnsa/articles-2242-a-fixed-point-approach-to-the-stability-of-an-aqcq-functional-equation-in-rn-spaceshttps://repository.hanyang.ac.kr/handle/20.500.11754/74557
ISSN
2008-1898; 2008-1901
DOI
10.22436/jnsa.009.04.34
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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