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, 2019, vol. 7, issue 10, 1-14

Abstract: In this paper, approximation properties in Felbin fuzzy normed spaces are considered. These approximation properties are new concepts in Felbin fuzzy normed spaces. Definitions and examples of such properties are given and we make a comparative study among approximation properties in Bag and Samanta fuzzy normed spaces and Felbin fuzzy normed spaces. We develop the representation of finite rank bounded operators in our context. By using this representation, characterizations of approximation properties are established in Felbin fuzzy normed spaces.

Keywords: felbin-fuzzy normed space; bag and samanta fuzzy normed space; approximation property; bound approximation property; finite rank operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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