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。
Two theorem on Normed linear spaces;
赋范线性空间中的两个定理
Moreover, the problem of approximating the fixed points of φ-hemicontractive mapping in normed linear spaces by the modified Ishikawa iterative sequences with errors is investigated.
进一步,还研究了赋范线性空间中φ-半压缩映象不动点的具误差的Ishikawa迭代逼近问题。
Some properties of (f-) coapproximation and strongly (f-) coapproximation are studied in locally convex spaces and normed linear spaces.
研究了局部凸空间和赋范线性空间中的 (f_)共逼近和强 (f_)共逼近的一些性质 ,给出了f_共逼近、强f_共逼近和强f_Kolmogorov集的特征定理 ;并举例说明RaoGS的两主要定理是不正确的 ,同时作了相应的更正 。
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。
Transferable conditions from metric linear space to F-normed and seminormed linear spaces;
距离线性空间成为赋准范、赋拟范线性空间的条件
Hua Luogeng s inequality is generalized in a linear normed space, and a parameter p in the oringinal inequality is increased to three parameters p,q and r , and our result is also a sharpened one for Hua s.
将华罗庚不等式推广到线性赋范空间 ,并且将原不等式的一个参数 p增加到三个参数 p ,q ,r ,所获结果也是对华罗庚不等式的加强 。
uniformly convex normed linear space
一致凸赋范线性空间
On Linearly Topological Property of Fuzzy Normed Linear Space;
关于模糊赋范线性空间的线性拓扑性质
Problems Related to Orthogonalities in Normed Linear Spaces;
赋范线性空间中与正交性相关的若干问题
Iterative Approximations of Fixed Points for Uniformly L-Lipschitz Mappings in Normed Linear Spaces
赋范线性空间中一致L-Lipschitz映射的不动点迭代逼近
Probabilistic Norm of Linear Operators on PN Space
概率赋范空间上线性算子的概率范数
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
Some Researches on Powerset Linear Operator in Fuzzy Normed Spaces;
模糊赋范空间中幂集线性算子的若干研究
On the Alexandrov Problem of Conservative Distance Mapping in Linear (n,p)-norned Spaces
线性(n,p)-赋范空间中守恒映射的亚历山德罗夫问题(英文)
Iterative Approximations of Fixed Points of Asymptotically Pseudo-contractive Mappings in β-normed Linear Space
赋β-范线性空间中渐近伪压缩映象的不动点迭代逼近问题
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
Problems Related to Normed Linear Spaces with Some Special Properties;
具有某类特殊性质赋范空间相关问题的研究
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.
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
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
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