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

초록

In this paper, we introduce the definitions of s(p)-convergent sequence in fuzzy metric spaces and fuzzy normed spaces. We investigate relations of convergence, s(p)-convergence, s(infinity)-convergence and stconvergence in fuzzy metric spaces and fuzzy normed spaces. We also study s(p)-convergence, s(infinity)-convergence and st-convergence using the subsequence of convergent sequence in fuzzy metric spaces and fuzzy normed spaces. Stationary fuzzy normed spaces are defined and investigated. We finally define s(p)-closed sets, s(infinity)-closed sets and st-closed sets in fuzzy metric spaces and fuzzy normed spaces and investigate relations of them.

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