On the Behaviors of Hyperspace Topologies for Subspaces

For a topological space X we denote by CL(X) the collection of all nonempty closed subsets of X. Suppose we have a map T which assigns in some coherent way to every topological space X some topology T(X) on CL(X). In this paper we study continuity and inverse continuity of the map iA,X :(CL(A),T{A)) → (CL(X),T(X)) defined by iA,x(F) = F whenever F ∈CL(A), for various assignment T; in particular, for locally finite topology, upper Kuratowski topology, and Attouch-Wets topology, etc.     

关于某些KKM型定理

本文表明关于KKM定理的某些最近的结果是错误的．     

Fell-拓扑的伪紧性（英文）

设X是拓扑空间，CL（X）表示X的所有非空闭子集的族，本文得到了下述结果：在CL（X）上的Fell-拓扑是伪肾的当且仅当X是feebly-紧或者非局部紧或者非σ－紧，由此得到了对于伪紧性不是闭遗传的两类新的拓扑空间。     

向量代数在核辐射危险评估中的应用

利用数量积概念,建立一个关于日本核泄漏事故中放射尘埃扩散的数学模型,计算出放射尘埃扩散到美国西部沿海加利福尼亚州、俄勒冈州和华盛顿州的放射量,据此可以认为事故对美国基本没有辐射影响.     

Epi—拓扑的某些性质

Let LSC(X)denote the set of all proper lower semicontinuous functions on X with the epi-topology.In this paper we give characerizations of the separation axioms,Baire properties and metrizability of LSC(X).We show also that the continuous function space C(X) with the epi-topology is of first category when X is first coutable.     

关于子空间的超空间拓扑

For a topological space X we denote by CL(X) the collection of all nonempty closed subsets of X. Suppose we have a map T which assigns in some coherent way to every topological space X some topology T(X) on CL(X). In this paper we study continuity and inverse continuity of the map iA,X : (CL(A), T(A))→(CL(X),T(X)) defined by iA,x(F) = ^-F whenever F ∈ CL(A), for various assignment T; in particular, for locally finite topology, upper Kuratowski topology, and Attouch-Wets topology, etc.     

在抽象凸结构中的逼近选择定理及其应用

本文首先建立了一个新的逼近选择定理,然后作为这个定理的应用,给出对于非H-凸像集值映射的一个不动点定理.     

在抽象凸结构中的逼近选择定理及其应用

本文首先建立了一个新的逼近选择定理,然后作为这个定理的应用,给出对于非H-凸像集值映射的一个不动点定理.     

Fell—拓扑的某些性质

刻画了Fell-拓扑的某些性质以及Fell-拓扑和拓扑收敛的关系。     

没有开纤维的广义拟均衡问题(英文)

In this paper, we first prove some new selection and fixed point theorems in generalized convex spaces. Then, we establish some existence theorems of quasi-equilibrium and generalized quasi-equilibrium without the conditions of open fibers, by applying our selection and fixed point theorems.