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Additive rho-functional equations

Title
Additive rho-functional equations
Author
박춘길
Keywords
Hyers-Ulam stability; additive rho-functional equation; non-Archimedean normed space; Banach space
Issue Date
2017-06
Publisher
EUDOXUS PRESS
Citation
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v. 22, no. 6, page. 1035-1048
Abstract
In this paper, we solve the additive rho-functional equations f(x + y) - f(x) - f(y) = rho(2f(x+y/2) - f(x) - f(y)), (0.1) 2f(x+y/2) - f(x) - f(y) = rho(f(x + y) - f(x) - f(y)) (0.2) where rho is a fixed non-Archimedean number or a fixed real or complex number with rho not equal 1. Using the direct method, we prove the Hyers-Ulam stability of the additive rho-functional equations (0.1) and (0.2) in non-Archimedean Banach spaces and in Banach spaces.
URI
http://www.eudoxuspress.com/images/JOCAAA-VOL-22-2017-ISSUE-VI.pdfhttps://repository.hanyang.ac.kr/handle/20.500.11754/114616
ISSN
1521-1398; 1572-9206
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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