Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 박춘길 | - |
dc.date.accessioned | 2018-08-29T02:20:08Z | - |
dc.date.available | 2018-08-29T02:20:08Z | - |
dc.date.issued | 2016-07 | - |
dc.identifier.citation | JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS (2016), v. 9, NO. 4, Page. 1858-1871 | en_US |
dc.identifier.issn | 2008-1898 | - |
dc.identifier.issn | 2008-1901 | - |
dc.identifier.uri | http://www.isr-publications.com/jnsa/articles-1658-fixed-points-and-quadratic-rho-functional-equations | - |
dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/74560 | - |
dc.description.abstract | In this paper, we solve the quadratic rho-functional equations f (x + y) + f (x - y) - 2f (x) - 2f (y) = rho(2f (x + y/2) + 2f (x - y/2) - f (x) - f (y)), (1) where rho is a fixed non-Archimedean number or a fixed real or complex number with rho not equal 1, 2, and 2f (x + y/2) + 2f (x - y/2) - f(x) - f(y) = rho(x + y) + f(x - y) - 2f(x) - 2f (y)) where rho is a fixed non-Archimedean number or a fixed real or complex number with rho not equal -1, 1/2. Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic rho-functional equations (1) and (2) in non-Archimedean Banach spaces and in Banach spaces. (C) 2016 All rights reserved. | en_US |
dc.description.sponsorship | S. O. Kim was supported by Hallym University Research Fund, 2015 (HRF-201510-009). | en_US |
dc.language.iso | en | en_US |
dc.publisher | INT SCIENTIFIC RESEARCH PUBLICATIONS | en_US |
dc.subject | Hyers-Ulam stability | en_US |
dc.subject | non-Archimedean normed space | en_US |
dc.subject | fixed point | en_US |
dc.subject | quadratic rho-functional equation | en_US |
dc.title | Fixed points and quadratic rho-functional equations | en_US |
dc.type | Article | en_US |
dc.relation.no | 4 | - |
dc.relation.volume | 9 | - |
dc.identifier.doi | 10.22436/jnsa.009.04.39 | - |
dc.relation.page | 1858-1871 | - |
dc.relation.journal | JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | - |
dc.contributor.googleauthor | Park, Choonkil | - |
dc.contributor.googleauthor | Kim, Sang Og | - |
dc.relation.code | 2016009130 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
dc.identifier.pid | baak | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.