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A Study of Approximation Properties in Felbin-Fuzzy Normed Spaces

Department of Mathematics and Statistics, Sejong University, Seoul 05006, Korea
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Mathematics 2020, 8(2), 161; https://doi.org/10.3390/math8020161
Received: 23 December 2019 / Revised: 17 January 2020 / Accepted: 20 January 2020 / Published: 23 January 2020
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. View Full-Text
Keywords: Felbin-fuzzy normed space; approximation property; bounded approximation property; topological duals; dual problems Felbin-fuzzy normed space; approximation property; bounded approximation property; topological duals; dual problems
MDPI and ACS Style

Kim, J.M.; Lee, K.Y. A Study of Approximation Properties in Felbin-Fuzzy Normed Spaces. Mathematics 2020, 8, 161.

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