Browder不动点定理的推广及应用

研究 Ｂｒｏｗｄｅｒ 不动点定理， 得到 Ｂｒｏｗｄｅｒ 不动点定理之一新的推广定理及其几种等价形式·　作为应用，研究了最近点和不动点的存在性问题·  

A note on closed images of locally compact metric spaces

Summary A decomposition theorem about closed images of locally compact metric spaces is discussed. It is shown that a space is a closed image of a locally compact metric space if and only if it is a regular Fréchet space with a point-countable k-network, and each of its closed first-countable subset is locally compact.  

求解交通均衡配流问题的新算法

给出了一个求解交通均衡配流问题的新算法，证明了新算法的收敛性，并在小型交通网络上进行了初步的数值试验．  

求解交通均衡配流问题新算法

给出了一个求解交通均衡配流问题的新算法,证明了新算法的收敛性,并在小型交通网络上进行了初步的数值试验.  

Images of locally compact metric spaces

We establish relationships between locally compact-metric spaces and all kinds of spaces with mk-system (compact k-network) by means of compact-covering mappings, quotient mapping and closed mappings. This revised version was published online in June 2006 with corrections to the Cover Date.  

拟非扩张映像族的公共不动点的迭代方法

引入了修正的杂交投影迭代算法,用来构造Hilbert空间中拟非扩张映像族的公共不动点.使用新的算法证明了几个强收敛定理.新算法的优点是不要求映像具有次闭性质.  

拓扑空间上的KKM定理,不动点定理,广义变分不等式

引进没有任何凸结构的拓扑空间上的广义R-KKM映射的定义并利用古典的KKM原理得到一般拓扑空间上的KKM型定理以及若干个变形结果,然后作为应用给出了非紧的拓扑空间上不动点定理和广义变分不等式解的存在性定理.  

Fixed points and quasi-equilibrium problems

A fixed-point theorem for compact acyclic maps defined on convex subsets of notnecessarily locally convex topological vector spaces is applied to the existence of solutions of quasi-equilibrium problems. Such existence theorems extend known ones which were used for unified approaches to quasi-variational inequalities in [1–5] and others.  

关于完满正规空间

本文证明了完满正规被闭ｌｉｎｄｅｌｏｆ映射逆保持，推广了「２」中的相应结果。