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Quadratic rho-functional inequalities in non-Archimedean normed spaces

Title
Quadratic rho-functional inequalities in non-Archimedean normed spaces
Author
박춘길
Keywords
Hyers-Ulam stability; non-Archimedean normed space; quadratic rho-functional equation; quadratic rho-functional inequality
Issue Date
2016-10
Publisher
EUDOXUS PRESS
Citation
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v. 21, NO 4, Page. 791-799
Abstract
In this paper, we solve the quadratic rho-functional inequalities parallel to f(x + y) + f (x - y) 2f (x) - 2f (y) parallel to <= parallel to rho (2f (x + y/2) + 2f (x - y/2) - f (x) - f (y))parallel to, (0.1) where rho is a fixed non-Archimedean number with vertical bar rho vertical bar < 1, and parallel to 2f (x + y/2) + 2f (x - y/2) -f (x) - f (y)parallel to <= parallel to rho(f(x + y) + f(x - y) - 2f (x) - 2f (y))parallel to, (0.2) where rho is a fixed non-Archimedean number with vertical bar rho vertical bar < 1/2. Furthermore, we prove the Hyers-Ulam stability of the quadratic rho-functional inequalities (0.1) and (0.2) in non-Archimedean Banach spaces and prove the Hyers-Ulam stability of quadratic rho-functional equations associated with the quadratic rho-functional inequalities (0.1) and (0.2) in non-Archimedean Banach spaces.
URI
http://www.eudoxuspress.com/images/VOLUME-21-JOCAAA-2016-ISSUE-4.pdfhttps://repository.hanyang.ac.kr/handle/20.500.11754/100530
ISSN
1521-1398; 1572-9206
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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