以下为句子列表：
英文: In the present paper, some theorems for variational inequalities and minimax inequality are obtained in hyperconvex metric spaces.
中文: 摘要文章给出了超凸度量空间中的一些变分不等式定理和极大极小不等式定理。
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英文: In this paper, common fixed point theorems for converse commuting selfmaps on a metric space have been proved. The theorems are different from the related results.
中文: 摘要通过引入度量空间中的反交换映射，证明了一个公共不动点定理。这一结果不同于相关的文献。
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英文: In this paper, to study fixed-point of compact metric space, and obtain one pair fixed-point theorems of expansion Mapping and compression Mapping. The results are improved in the papers [1], [2].
中文: 摘要研究了紧度量空间上的不动点问题。得到扩张映射与压缩映射的不动点定理。推广了文献[1]、[2]的结果。
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英文: Some properties of compactness on fuzzy metric spaces are studied, especially sequentially compactness, totally bounded sets, compact sets and compactness on the kind of spaces, and several theorems on compactness of fuzzy metric spaces are proved.
中文: 摘要研究了模糊度量空间的紧性，主要讨论了列紧性、全有界性、自列紧性和紧性等，证明了几个关于模糊度量空间紧性的命题和定理。
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英文: These are 18.100B (Analysis and Metric Spaces) and 18.700 (Linear Algebra). The course 18.101 (Calculus in Several Variables) would be useful and some familiarity with topological groups is also helpful.
中文: 学生需要预修18.100B（分析和度量空间）和18.700（线性代数）。预修过课程18.101（多变数微积分）或者熟悉拓扑群都对学习本课程有帮助。
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