A Study of Approximation Properties in Felbin-Fuzzy Normed Spaces
In this paper, approximation properties in Felbin-fuzzy normed spaces are studied. These approximation properties have been recently introduced in Felbin-fuzzy normed spaces. We make topological tools to analyze such approximation properties. We especially develop the representation of dual spaces r...
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MDPI AG
2020-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/2/161 |
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doaj-63f1f58c6f7c439fab49329f4a9fff2a2020-11-25T02:18:24ZengMDPI AGMathematics2227-73902020-01-018216110.3390/math8020161math8020161A Study of Approximation Properties in Felbin-Fuzzy Normed SpacesJu Myung Kim0Keun Young Lee1Department of Mathematics and Statistics, Sejong University, Seoul 05006, KoreaDepartment of Mathematics and Statistics, Sejong University, Seoul 05006, KoreaIn this paper, approximation properties in Felbin-fuzzy normed spaces are studied. These approximation properties have been recently introduced in Felbin-fuzzy normed spaces. We make topological tools to analyze such approximation properties. We especially develop the representation of dual spaces related to our contexts. By using this representation, we establish characterizations of approximation properties in terms of infinite sequences. Finally, we provide dual problems for approximation properties and their results in our contexts.https://www.mdpi.com/2227-7390/8/2/161felbin-fuzzy normed spaceapproximation propertybounded approximation propertytopological dualsdual problems |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ju Myung Kim Keun Young Lee |
| spellingShingle |
Ju Myung Kim Keun Young Lee A Study of Approximation Properties in Felbin-Fuzzy Normed Spaces Mathematics felbin-fuzzy normed space approximation property bounded approximation property topological duals dual problems |
| author_facet |
Ju Myung Kim Keun Young Lee |
| author_sort |
Ju Myung Kim |
| title |
A Study of Approximation Properties in Felbin-Fuzzy Normed Spaces |
| title_short |
A Study of Approximation Properties in Felbin-Fuzzy Normed Spaces |
| title_full |
A Study of Approximation Properties in Felbin-Fuzzy Normed Spaces |
| title_fullStr |
A Study of Approximation Properties in Felbin-Fuzzy Normed Spaces |
| title_full_unstemmed |
A Study of Approximation Properties in Felbin-Fuzzy Normed Spaces |
| title_sort |
study of approximation properties in felbin-fuzzy normed spaces |
| publisher |
MDPI AG |
| series |
Mathematics |
| issn |
2227-7390 |
| publishDate |
2020-01-01 |
| description |
In this paper, approximation properties in Felbin-fuzzy normed spaces are studied. These approximation properties have been recently introduced in Felbin-fuzzy normed spaces. We make topological tools to analyze such approximation properties. We especially develop the representation of dual spaces related to our contexts. By using this representation, we establish characterizations of approximation properties in terms of infinite sequences. Finally, we provide dual problems for approximation properties and their results in our contexts. |
| topic |
felbin-fuzzy normed space approximation property bounded approximation property topological duals dual problems |
| url |
https://www.mdpi.com/2227-7390/8/2/161 |
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AT jumyungkim astudyofapproximationpropertiesinfelbinfuzzynormedspaces AT keunyounglee astudyofapproximationpropertiesinfelbinfuzzynormedspaces AT jumyungkim studyofapproximationpropertiesinfelbinfuzzynormedspaces AT keunyounglee studyofapproximationpropertiesinfelbinfuzzynormedspaces |
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1724882483720224768 |