Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 박춘길 | - |
dc.date.accessioned | 2019-04-29T05:58:10Z | - |
dc.date.available | 2019-04-29T05:58:10Z | - |
dc.date.issued | 2016-12 | - |
dc.identifier.citation | JOURNAL OF MATHEMATICAL INEQUALITIES, v. 10, NO 4, Page. 1123-1136 | en_US |
dc.identifier.issn | 1846-579X | - |
dc.identifier.uri | http://jmi.ele-math.com/10-89/Cubic-and-quartic-rho-functional-inequalities-in-fuzzy-Banach-spaces | - |
dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/102921 | - |
dc.description.abstract | In this paper, we solve the following cubic rho-functional inequality N(f (2x + y) + f(2x - y) - 2f(x + y) - 2f (x - y) - 12f(x) (0.1) -rho(4f(x + y/2) + 4f(x - y/2) - f(x + y) - f(x - y) - 6f(x)),t) ˃= t/t + phi(x, y) and the following quartic rho-functional inequality N(f(2x + y) + f(2x - y) - 4f(x + y) - 4f(x - y) - 24f(x) + 6f(y) (0.2) -rho(8f(x + y/2) + 8f(x - y/2) - 2f(x + y) - 2f(x - y) - 12f(x) + 3f(y)),t) ˃= t/t + phi(x, y) in fuzzy normed spaces, where. is a fixed real number with rho not equal 2. Using the fixed point method, we prove the Hyers-Ulam stability of the cubic rho-functional inequality (0.1) and the quartic rho-functional inequality (0.2) in fuzzy Banach spaces. | en_US |
dc.language.iso | en | en_US |
dc.publisher | ELEMENT | en_US |
dc.subject | Fuzzy Banach space | en_US |
dc.subject | cubic rho-functional inequality | en_US |
dc.subject | quartic rho-functional inequality | en_US |
dc.subject | fixed point method | en_US |
dc.subject | Hyers-Ulam stability | en_US |
dc.title | CUBIC AND QUARTIC rho-FUNCTIONAL INEQUALITIES IN FUZZY BANACH SPACES | en_US |
dc.type | Article | en_US |
dc.relation.no | 4 | - |
dc.relation.volume | 10 | - |
dc.identifier.doi | 10.7153/jmi-10-89 | - |
dc.relation.page | 1123-1136 | - |
dc.relation.journal | JOURNAL OF MATHEMATICAL INEQUALITIES | - |
dc.contributor.googleauthor | Park, Choonkil | - |
dc.relation.code | 2016008018 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
dc.identifier.pid | baak | - |
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