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。
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。
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。
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。
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。
Isometries Between the Unit Spheres of c_0-Sum of Strictly Convex Normed Spaces
严格凸赋范空间的c_0-和的单位球面之间的等距
uniformly convex normed linear space
一致凸赋范线性空间
Remarks on K-Strictly Convex Banach Spaces;
关于K-严格凸Banach空间的注记
Some Equivalent Propositions about Strict Convex in Banach Space;
Banach空间严格凸的几个等价命题
A Sufficient Condition on Strict Convexity Space of Real Conjugate Space;
实共轭空间X~*严格凸的一个充分条件
Existence and uniqueness for element of best approximation in strict convex Banach spaces;
严格凸Banach空间中最佳逼近元的存在与唯一性
ITERATIVE APPROXIMATION OF LIPSCHITZ STRICTLYPSEUDOCONTRACTIVE MAPPINGS IN UNIFORMLYCONVEX BANACH SPACES;
一致凸Banach空间中Lipschitz严格伪收缩映射的迭代逼近
In terms of the metric regularity and two kinds ofderivatives of multifunctions, a summary is given forerror bounds for convexmultifunctions in normed spaces.
通过度量正则性和多值映射的2种导数概述了赋范空间上凸多值映射的误差界.
Probabilistic Norm of Linear Operators on PN Space
概率赋范空间上线性算子的概率范数
We proved that every closed maximal linear subspace in a Banach space is strongly orthogonally complemented if and only if the space X is reflexive and strictly convex.
证明了闭的极大线性子空间是强正交可补的充分必要条件是,空间x是自反严格凸的.
Minimal Ball-Covering of the Unit Spheres in n-dimensional Normed Spaces;
n维赋范空间单位球面的极小球覆盖
Extension of operators on Riesz space with extended a-norm;
赋扩张a-范数Riesz空间上算子的延拓问题
Boundedness of Fuzzy Paranormed Linear Space;
Fuzzy赋准范线性空间的有界性
Boundedness of Sublinear Functional in Norm Spaces
赋范空间中次线性泛函的有界性问题
The reurrent points of continuous self-maps on a normed space
关于赋范空间上连续自映射的回归点
On the Normability of Two Indexes Two Dimension Lorentz Spaces
关于二指标二维Lorentz空间的可赋范性
Strongly extreme points in Orlicz space equipped with the generalized Orlicz norm.
赋广义Orlicz范数的Orlicz空间的强端点
Hua Lo-Keng Inequality In 2-Normed Spaces and Quasi-Banach Spaces
2-赋范空间和拟Banach空间中的华罗庚不等式
