| 胡杨丽，李长清 *.模糊度量空间中统计收敛的等价刻画[J].海南师范大学学报自科版,2022,35(2):165-169 |
| 模糊度量空间中统计收敛的等价刻画 |
| Equivalent Characterizations of Statistical Convergence in FuzzyMetric Spaces |
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| DOI：10.12051/j.issn.1674-4942.2022.02.010 |
| 中文关键词: 模糊度量空间 统计收敛 统计柯西 统计完备 完备 |
| 英文关键词: fuzzy metric space statistical convergence statistical cauchy statistical completeness complete |
| 基金项目:国家自然科学基金项目（11701258）；福建省自然科学基金项目（2020J01801，2022J01912） |
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| 中文摘要: |
| 统计收敛在模糊度量空间中已得到应用，但模糊度量空间中的统计完备与完备的关系
尚不明确。鉴于此，本文探讨了完备的模糊度量空间中序列的统计收敛的等价刻画，导出了统计
完备与完备的等价性。研究结果完善了模糊度量空间中序列的统计收敛的相关性质。 |
| 英文摘要: |
| Statistical convergence has been applied in fuzzy metric spaces, but the relationship between statistical com⁃
pleteness and completeness in fuzzy metric spaces is unclear. In view of this, the equivalent characterization of statistical
convergence of sequences in complete fuzzy metric spaces was given and the equivalence between statistical completeness
and completeness was deduced in this paper. These results improve the properties of statistical convergence of sequences in
fuzzy metric spaces. |
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