A Study of Approximation Properties in Felbin-Fuzzy Normed Spaces

Ju Myung Kim and Keun Young Lee
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Ju Myung Kim: Department of Mathematics and Statistics, Sejong University, Seoul 05006, Korea
Keun Young Lee: Department of Mathematics and Statistics, Sejong University, Seoul 05006, Korea

Mathematics, 2020, vol. 8, issue 2, 1-15

Abstract: 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.

Keywords: Felbin-fuzzy normed space; approximation property; bounded approximation property; topological duals; dual problems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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