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Quadratic rho-functional inequalities in non-Archimedean normed spaces

Authors
Park, Choonkil
Issue Date
Jul-2015
Publisher
ALLERTON PRESS INC
Keywords
Hyers-Ulam stability; non-Archimedean normed space; quadratic rho-functional equation; quadratic rho-functional inequality
Citation
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, v.50, no.4, pp.187 - 195
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES
Volume
50
Number
4
Start Page
187
End Page
195
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143433
DOI
10.3103/S1068362315040044
ISSN
1068-3623
Abstract
The paper is devoted to the solution of two quadratic rho-functional inequalities and the Hyers-Ulam stability of these inequalities. Using the direct method, we prove the Hyers-Ulam stability of these inequalities in non-Archimedean Banach spaces. The Hyers-Ulam stability of the quadratic rho-functional equations associated with these inequalities is also established in non-Archimedean Banach spaces.
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