关于Michael选择问题

本文得到一个新的逼近选择定理及一个新的连续选择定理.作为这个新的连续选择定理的应用,我们给出一个新的不动点定理和一个新的重合定理(见文[1-27]).     

An extension of building sets and relative difference sets

Building sets are a successful tool for constructing semi‐regular divisible difference sets and, in particular, semi‐regular relative difference sets. In this paper, we present an extension theorem for building sets under simple conditions. Some of the semi‐regular relative difference sets obtained using the extension theorem are new in the sense that their ambient groups have smaller ranks than previously known. © 2000 John Wiley & Sons, Inc. J Combin Designs 8: 50–57, 2000     

替换定理的推广

对向量组的替换定理进行了推广,在证明过程中给出了向量组替换的方法,比经典替换定理便于应用.     

关于一个Riemann可积定理的推广

本文推广了一个 Riemann可积定理 ,使其条件更为一般 .     

Real-valued flows in a network with fuzzy arc capacities

The problem of the maximal (minimal) flow in a network with fuzzy capacity constraints is considered. A theorem being a natural direct generalization of the Ford-Fulkerson theorem relating the flow value with cut capacities in the network is proved. A simple algorithm, based on the mentioned theorem, for the determination of optimal real-valued flows is developed.     

Cafiero approach to the Dieudonné type theorems

An algebra of subsets of a normal topological space containing the open sets is considered and in this context the uniform exhaustivity and uniform regularity for a family of additive functions are studied. Based on these results the Cafiero convergence theorem with the Dieudonné type conditions is proved and in this way also the Nikodým-Dieudonné convergence theorem is obtained.     

关于可积函数的一个注记

本文推广了一个 Riemann可积定理 ,使其条件更为一般     

P－正则半群的双序集

本文刻划了双序集Ｅ为某Ｐ－正则半群的幂等元双序集的充要条件．所得定理不仅推广了Ｄ．Ｅａｓｄｏｗｎ关于带的双序集的结论，而且导出了正则＊－半群的幂等元双序集的一个刻划．进而还对Ｐ－正则半群的若干特殊情形及向非正则半群的推广进行了讨论．     

局部凸H-空间中的Ky Fan型截口定理及其应用

本文首先在局部凸Ｈ－空间中建立一个Ｆａｎ型截口定理,作为应用,我们Ｈ－在空间中获得了相交定理、重合定理和极大极小定理本文中定理把文献中的相应结果改进和推广到Ｈ－空间。     

P－正则半群的双序集

本文刻划了双序集Ｅ为某Ｐ－正则半群的幂等元双序集的充要条件．所得定理不仅推广了Ｄ．Ｅａｓｄｏｗｎ关于带的双序集的结论，而且导出了正则＊－半群的幂等元双序集的一个刻划．进而还对Ｐ－正则半群的若干特殊情形及向非正则半群的推广进行了讨论．     

Banach空间上凸集的凸性

以Banach空间的一般凸集为研究对象,将Banach空间的凸性研究推广到了内部非空的凸集上．打破了从单位球出发研究Banach空间几何的具有局限性的研究方法,给出了严格凸集的若干特征刻画及性质,并得到了严格凸集和光滑集之间的对偶定理．     

A Difference Set in \left( {\mathbb{Z}/4\mathbb{Z}} \right)^3 \times \mathbb{Z}/5\mathbb{Z}

We present a (320, 88, 24)-difference set in , the existence of which was previously open. This new difference set improves a theorem of Davis-Jedwab with the removal of the exceptional case. It also enables us to state a theorem of Schmidt on Davis-Jedwab difference sets more neatly.     

等周不等式与Bol-Fujiwara定理

本文研究著名的Bol-Fujiwara定理.利用积分几何方法和经典的等周不等式,得到了Bol-Fujiwara定理的一个推广(定理1),以及推广了的Bol-Fujiwara定理的逆定理(定理2).     

超有效意义下向量集值优化修整的Lagrange乘子型对偶

给出了一类加细的向量集值优化超有效解的最优性条件,由此给出了一种改进的Lagrange乘子型对偶,并建立了对偶的弱定理,正定理及逆定理。     

The Inclusion Interval of Basic Coneigenvalues of a Matrix

In this paper,a compound-type inclusion interval of basic coneigenvalues of(com- plex)matrix is obtained.The corresponding boundary theorem and isolating theorem are given.     

《泛函分析》中两个定理的教学与应用

本文讨论《泛函分析》中 Schauder不动点定理和 Arzela-Ascoli定理的教学方法并把它们用于互助生态模型得到两物种共存的一个充分条件 .     

Connectedness of Cone Superefficient Point Sets in Locally Convex Topological Vector Spaces

This paper studies the connectedness of the cone superefficient point set in locally convex topological vector spaces. First, we prove a scalarization theorem for a cone superefficient point set. From this result, we obtain the connectedness of a cone superefficient point set under the conditions that the set is cone convex and cone weakly compact.     

A note on a theorem of Tacon

In this paper we give the minimal conditions which must satisfy families of subsets ofF for the proof of a theorem of Tacon and analogous results for some other classes of operatorsT:E→F defined via these families can be reproduced.     

关于''抽象的极小极大定理''的注记

本文指出林壮鹏2000年发表的一个抽象的极大极小定理一文中主要结果的证明需要修正,然后改进了该文的结果,同时给出了一个简单的证明。     

关于weierstrass逼近定理的几点注记

Weierstrass逼近定理是函数逼近论中的重要定理之一,定理阐述了闭区间上的连续函数可以用一多项式去逼近.将该定理进行推广:即使一个函数是几乎处处连续的,也不一定具有与连续函数相类似的逼近性质,但是一个处处不连续的函数却有可能具有这样的性质.证明了定义在闭区间上且与连续函数几乎处处相等的函数具有类似的逼近性质,并给出了weierstrass逼近定理的一个推广应用.