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1)  Fuzzy Normed Linear Space
模糊赋范线性空间
1.
Equicontinuity for Families of Quasi-homogeneous Operators in Fuzzy Normed Linear Spaces;
模糊赋范线性空间中准齐性算子族的等度连续性
2)  fuzzy normed space
模糊赋范空间
1.
In this paper,the portray of the fuzzy boundedness and continuity of fuzzy linear operators from a fuzzy normed space into another is given by the fuzzy norm.
讨论了模糊赋范空间上线性算子的连续性与有界性 ,以及它们的范数形式的等价刻
2.
A extension theorem of bounded lienar operators on fuzzy normed spaces was proved.
证明了模糊赋范空间上有界线性算子的一个保范延拓定理。
3.
Fuzzy sequentially compact set in fuzzy normed space was defined and the relations between fuzzy sequentially compact set and fuzzy total bounded set were studied some properties of topolisical space were generalized to fuzzy topolisical linear space.
在模糊赋范空间中给出了列紧集的概念,并对于模糊列紧集与模糊全有界集之间的关系作了进一步的研究,使得与分明的情况基本上协调起来。
3)  fuzzy seminormed spaces
模糊赋半范空间
1.
Study on some properties of fuzzy seminormed spaces;
模糊赋半范空间的性质研究(Ⅰ)
2.
Discussed of fixed point theorems in fuzzy seminormed spaces;
文中证明了模糊赋半范空间中的压缩映射原理的几个推广结论。
4)  L-fuzzy normed linear space
L-模糊赋范空间
5)  normed linear space
赋范线性空间
1.
A kind of set-valued differential(γ-subdifferential) of functionals in normed linear space was defined,and its properties and application to nonsmooth multiobjective programming problem was discussed,so that some new results were obtained.
定义了赋范线性空间上泛函的一种新型集值导数(γ-次微分),讨论了它的一些性质及其在非光滑数学规划问题上的一些应用,得到了一些新的结果,这些结果改进和推广了已有的相关结论,对于进一步研究此问题提供了可靠的理论依据。
2.
In this paper,making use of hyperplane method,we improve the proof of the separation theorem;On the other hand,we use a new method of moving neighborhood to simplify the proof for the continuity of a subconvex function defined on a convex in a normed linear space.
在巴拿赫空间理论中,Hahn-Banach泛函延拓定理作为泛函分析三大基本定理之一,分隔性定理是Hahn-Banach定理的重要应用,本文利用"超平面"的方法,改进了一个分隔性定理的证明;另外,本文利用邻域的"平移"方法,给出了定义在赋范线性空间内的凸集上的次凸泛函连续性的简捷证明。
6)  normed linear space
线性赋范空间
1.
In normed linear spaces,Ishikawa iterative sequence is used to provide three fixed point theorems.
在线性赋范空间中,应用Ishikawa迭代序列证明了3个不动点定理,这些定理也推广了PathakHK和KangSM等人的一些结果。
2.
In this paper,some properties of translation and application for ball in normed linear space are given.
给出了线性赋范空间中球的几个平移性质及其应用。
3.
This paper gives two characteristic property of the dependence of linear functionalon "dimX<+∞" in normed linear space.
本文给出了线性赋范空间中线性泛函与“dimX<+∞”有关的两个特征性质。
补充资料:赋范空间


赋范空间
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