normed space

On Uniform Convergence of Linear Operators on the Probabilistic Normed Space

关于概率赋范线性空间上的线性算子的一致收敛

A new definition of fuzzy norm of linear operators on a fuzzy normed space is introduced . It is showed that the set of fuzzy bounded linear operators endowed with the new fuzzy norm is still a fuzzy normed space and preserves the completeness of their range .

利用模糊分解原理提出模糊赋范线性空间上算子的模糊范数的定义，指出赋此范数的模糊有界线性算子集构成模糊赋范线性空间且保持值域空间的完备性。

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 topological degree and fixed point theorems of almost probability normed space

几乎概率赋范空间中的拓扑度理论与不动点定理

A comment onthe characteristics of best simultaneous approximation in linear normed space

关于线性赋范空间联合最佳逼近的特征一文的一点评注

Naught space properties of compact linear operator in normed space

赋范空间上紧线性算子零空间的性质

An Important Property for an α - Convex Functional on a β - Normed space

关于赋β-范空间上α-凸泛函的一条重要性质

N normed space and bounded n - linear functional

n-赋范空间与有界n-线性泛函

On uniformly bounded theorem and open mapping theorem in random normed space

RN空间上的一致有界定理及开映象定理

On Continuous Linear Operators for Quasi - normed Space

关于赋拟范线性空间中的连续线性算子

Two quotient properties of a normed space

赋范空间上的两个可商性质

Uniform boundedness theorem of closed convex process on non-complete normed space

非完备赋范空间上一族闭凸过程的共鸣定理

The best approximation in β - normed space

赋β-范空间上的最佳逼近

A proof of extension theorem of continuous liner functional on the probabilistic normed space

概率赋范空间连续线性泛函延拓定理的一个证明

Continuity and boundedness of the operators between fuzzy normed space

Fuzzy赋范空间上算子的连续性和有界性

N - Reflexivity Operator Space in Normed Space

赋范空间下的n-自反算子空间

Some Properties on Quasi Normed Space

赋拟范空间的若干性质

The Resonance Theorem for a Family of - Convex Functionals on a - Normed Space

赋β-范空间上（λ，μ）-凸泛函族的共鸣定理

Asymptotically Isometric Copies of l_ β in a β - normed Space

β-范空间中lβ（β<1）的渐进等距Copy问题的研究

Conclusion It has been shown that some concepts and results in a normed space can be similarly established in a generalized fuzzy normed space .

存在不完备的广义模糊赋范空间。结论说明赋范空间中的一些概念和结果可类似的在广义模糊赋范空间中建立。

We also get some necessary and sufficient conditions for a β - normed space to contain an asymptotically isometric copies of l_ β .

还得到了一个β-范空间包含lβ（β<1）的渐进等距copy的某些充分必要条件.注意：本章所有的β满足β<1。

The main results are Theorem 1 All approximable subspaces of a normed space are Riesz subspaces , the converse isnot true .

定理1可逼近的真闭子空间是Rieaz子空间，反之不然。

S-convex and K-convex in a probabilistic normed space

概率赋范空间的S-凸和K-凸

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。

The resonance theorem for a family of α convex functionals on a β normed space is generalized . The condition concentric balls in the theorem is dropped to the balls which may be with different centres .

推广了赋β－范空间上α－凸泛函族的共鸣定理，将其中的同心球条件降低为一族不必同心的球。

In normed space , the theorem of existence of Lagrangian multipliers is proved , and - super saddle point is defined , and the relations between - super saddle point and existence of - super efficient solution are discuss .

在赋范空间中，证明了Lagrangian乘子存在性定理，定义了-超鞍点的概念，探讨了-超鞍点与-超有效解存在性之间的关系。

This paper proves that every probabilistic contraction map from E to E has a unique fixed point , where E is a complete and uniformly local semi-convex probabilistic normed space , and obtains a fixed point theorem in metric linear spaces .

证明了完备的一致局部半凸概率赋范空间上的概率压缩映象必有唯一不动点，得到了一类度量线性空间中关于伪范数族一致压缩映象的不动点定理。

By virtue of this concept , the existence of common solutions of nonlinear operator equations in probabilistic normed space is obtained . The relation between paired probability contractors and probabilistic contractions is showed . The main results in [ 1-4 ] are generalized .

借助于这一概念，讨论了概率赋范空间中一类非线性算子方程的公共解的存在性，同时建立概率收缩偶与概率压缩原理的联系，推广[1-4]的主要结果。

Chapter 3 , we study the stability of approximate solutions of nonlinear equation problems ( the continuous function is defined in the linear normed space ) . We prove that most of approximate solutions of nonlinear equation problems ( under Baire 's category ) are stable ;

第三章，研究定义在线性赋范空间上的非线性方程问题近似解及其解集的稳定性，得到线性赋范空间上在Baire分类下大多数非线性方程问题的近似解都是稳定的；

This paper studies fixed points theorems about contraction mapping on probabilistic normed space . It is proved that every contraction mapping has a unique fixed point on a complete locally bounded PN space and also on a complete neighbor N-locally convex PN space .

本文对完备的局部有界的概率赋范空间和完备的邻域N-局部凸概率赋范空间上的压缩映象，证明其存在唯一的不动点，并给出在一类Frechet空间上的应用。