A Study of Spaces of Sequences in Fuzzy Normed Spaces

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 04 May 2021 English Publisher:MDPI AGJournal:Mathematics, volume 9, page 1,040 (eissn: 2227-7390,

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Authors: Ju-Myung Kim; Keun-Young Lee;

doi: 10.3390/math9091040

A Study of Spaces of Sequences in Fuzzy Normed Spaces

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Abstract

In this paper, spaces of sequences in fuzzy normed spaces are considered. These spaces are a new concept in fuzzy normed spaces. We develop fuzzy norms for spaces of sequences in fuzzy normed spaces. Especially, we study the representation of the dual of a space of sequences in a fuzzy normed space. The approximation property in our context is investigated.

Related Organizations

Sejong University
Korea (Republic of)

Keywords

strong fuzzy dual, approximation property, bounded approximation property, bounded sequences, QA1-939, null sequences, Mathematics

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