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http://dx.doi.org/10.4134/CKMS.c180460

SOME RESULTS ON CONVERGENCES IN FUZZY METRIC SPACES AND FUZZY NORMED SPACES  

Cho, Kyugeun (Bangmok College of General Education Myong Ji University)
Lee, Chongsung (Department of Mathematics education Inha University)
Publication Information
Communications of the Korean Mathematical Society / v.35, no.1, 2020 , pp. 185-199 More about this Journal
Abstract
In this paper, we introduce the definitions of sp-convergent sequence in fuzzy metric spaces and fuzzy normed spaces. We investigate relations of convergence, sp-convergence, s∞-convergence and st-convergence in fuzzy metric spaces and fuzzy normed spaces. We also study sp-convergence, s∞-convergence and st-convergence using the sub-sequence of convergent sequence in fuzzy metric spaces and fuzzy normed spaces. Stationary fuzzy normed spaces are defined and investigated. We finally define sp-closed sets, s∞-closed sets and st-closed sets in fuzzy metric spaces and fuzzy normed spaces and investigate relations of them.
Keywords
Fuzzy metric space; fuzzy normed space; $s_p$-convergence; $s_{\infty}$-convergence; st-convergence; $s_p$-closed sets;
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