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- uniformly convex normed space 一致凸赋范空间
- Uniformly convex normed linear space 一致凸赋范线性空间
- Abstract: In this paper,a notion on "unit sphere" and "uniformly convex" is introduced in probabilistic normed spaces,it is proved that existence and uniqueness on the optimal approximate element. 文摘:该文在概率赋范空间中引进了"单位球"和"一致凸"的概念，证明了"最佳近似元"的存在性和唯一性。
- In this paper we extend the width problems in normed space to locally convex space and some results are given. 本文将赋范空间中的宽度推广到了局部凸空间;并得到了一些相应的结论.
- In this paper,we establish the Mann iteration process with errors for nonexpansive mapping in uniformly convex Banach space,and generalize corresponding results of Reich to the Mann iteration process with errors. 本文首先在一致凸 Banach空间中对非扩张映射讨论了带误差的 Mann迭代过程的一些特性 .;然后将 Reich的相应定理推广到带误差的 Mann迭代过程
- The author illustrates in this article the properties of fuzzy convex cone based on the fuzzy normed space;furthermore, testifies the two relevant propositions in the fuzzy normed space. 在模糊赋范空间的背景上,得到了模糊凸锥的若干性质,同时,还给出了模糊赋范空间中两个相关命题的证明。
- It was proved that,when the objective function was uniformly convex,this algorithm possessed superlinear convergence. 证明该算法在目标函数为一致凸时具有局部超线性收敛性。
- We shall prove that the sphere of any infinite-dimensional normed space is invertible. 我们将致力于证明任何无穷维赋范空间的球面皆为可逆。
- The concept of set-valued monotone mapping in Linear2- normed space was introduced, several new propositions concerning were obtained. 在线性2-赋范空间中引入了集值单调映象;并得出了几个有关的新命题.
- Fuzzy normed space theories are important parts in fuzzy analysis,while powerset linear operator is a reasonable form of classic linear operator in fuzzy normed space. 模糊赋范空间理论是模糊分析学的重要组成部分，幂集线性算子则是经典线性算子在模糊赋范空间中的极为合理的表现形式。
- Similarly to the traditional economics approach, the new "marginal utility" was defined as a generalized derivation in the partially ordered normed space. 与传统经济学将边际效用定义为数学分析中的导数类似地， 在泛系经济学中新的边际效用就是定义在赋半序范空间上的泛导(一种广义的导数)。
- This paper studies a fuzzy norm and its stratified properties. The completeness and separability of stratified space of fuzzy normed space are discussed. 摘要研究一类模糊范数及其层次结构性质，对模糊赋范空间的层次空间的完备性、分离性等性质进行了讨论。
- In this note,error bounds of maximum entropy method for finite minimax problems with convexity as well as uniformly convexity are investigated. 对具有凸性和一致凸性的极大极小问题,研究了极大熵方法得到的最优解和最优值的误差界。
- On Super Efficiency in Set-valued Optimization with Generalized Convex Normed Linear Space 广义凸赋范线性空间集值优化的超有效性
- In this paper it is proved that uniform convexity metric linear spaces with completeness are reflexive. 本文证明了完备的一致凸的度量线性空间是自反的。
- Abstract : In this paper, we show that the isometry between the unit spheres of certain normed space and its dual space can be extended to a real linear isometry on the whole space. 摘要 ： 本文证明了在一定条件下赋范线性空间与其共轭空间的单位球面之间的等距算子可以延拓为全空间的实线性等距算子。
- The relations among these uniform convexity and uniform smoothness, very smoothness, uniform extreme smoothness and extreme smoothness are studed. 讨论了这些凸性与一致光滑、非常光滑、一致极光滑、很极光滑等光滑性之间的关系。
- Finally some shortagescurrently available in the study of linear operators defined on probabilistic normed spaces are alsopointed out. 亦指出了在概率赋范空间上线性算子理论研究中目前存在的不足.
- Finally some shortages currently available in the study of linear operators defined on probabilistic normed spaces are also pointed out. 亦指出了在概率赋范空间上线性算子理论研究中目前存在的不足。
- An Implicit Iterative Process for a Finite Family of Nonexpansive Mappings in Uniformly Convex Banach Space 一致凸Banach空间上有限个非扩张映象的隐式迭代过程
