2-距离空间集值映射的不动点定理

本文定义了2—距离空间中集合之间的一种度量,并且给出2—距离空间中集值压缩型映射的不动点定理。     

概率半紧1—集压缩映象的理论及不动点定理

本文研究了概率半紧1-集压缩映象,并对它与概率凝聚映象和半紧1-集压缩映象之间的关系进行了讨论,给出了概率局部凸空间中概率半紧1-集压缩映象的几个不动点定理,进而得到了几个局部凸空间上半紧1-集压缩映象的不动点定理。     

Operator Constructions and Volterra Mappings in Differential Games

It is proved that B. N. Pshenichnyi's -strategies and strategies based on Volterra mappings are equivalent. It is shown that Volterra mapping sought for is a boundary for some directednesses of prelimit mappings.     

凝聚映射的特征性质及其应用

本文在Ｈ－空间内引入非常性测度概念．并利用这一概念在该空间内建立了凝聚映射的不动点定理；进而得到了连续空间上的凝取映射的特征性质；作为所得结果的应用，讨论了弱奇异积分方程解的存在性问题。     

Distributed Construction of Connected Dominating Set in Wireless Ad Hoc Networks

Connected dominating set (CDS) has been proposed as virtual backbone or spine of wireless ad hoc networks. Three distributed approximation algorithms have been proposed in the literature for minimum CDS. In this paper, we first reinvestigate their performances. None of these algorithms have constant approximation factors. Thus these algorithms cannot guarantee to generate a CDS of small size. Their message complexities can be as high as O(n ²), and their time complexities may also be as large as O(n ²) and O(n ³). We then present our own distributed algorithm that outperforms the existing algorithms. This algorithm has an approximation factor of at most 8, O(n) time complexity and O(nlogn) message complexity. By establishing the (nlogn) lower bound on the message complexity of any distributed algorithm for nontrivial CDS, our algorithm is thus message-optimal.     

自组网分簇算法仿真设计

自组网是一种由移动节点自组织形成的、不需要任何基础设施的网络，针对其随机的拓扑结构研究人员提出了基于分簇结构的拓扑机制，用于网络路由优化和安全控制。然而，这些算法在不同的移动环境中面临着不同的挑战，因而所表现出来的性能也各不相同，为进一步验证这些算法在不同移动环境中的有效性，文中使用Delphi设计了自组网的几个典型分簇算法，通过随机环境的仿真实验，得到相关仿真数据，分析比较了这些算法的性能，为进一步的研究提供依据。     

泛线性广义函数及其微分

将一类非线性映射即解剖映射作用在基本函数空间上,定义了泛线性广义函数,从而将线性广义函数推广到泛线性广义函数上.在此基础上,研究了泛线性广义函数的具体表现形式、构造以及微分性质等.     

Banach空间中具误差的Reich-Takahashi迭代序列的强收敛性

本文在具一致Gteaux可微范数的Banach空间的框架下,得出了第一型和第二型修正的具误差的Reich-Takahashi迭代序列强收敛于非自渐近非扩张映象的不动点的充分必要条件。所得结果改进和推广了已有相关结果。     

Convergence of an Ishikawa type iterative scheme for asymptotically quasi-nonexpansive mappings

In convex metric spaces, the Ishikawa iteration process and the Ishikawa iteration process with errors is defined for asymptotically quasi-nonexpansive mappings. It is proved some sufficient and necessary conditions for the iterative scheme converges to the fixed point of the asymptotically quasi-nonexpansive mappings. These results generalize and unify many important known results in recent literature.     

变电站大集控管理模式的初步设想

大集控模式是变电站运行管理的发展趋势.介绍了在大集控模式下,对操作模式、运行监控模式、运行管理模式的设想,同时对在大集控模式下设备的管理,提出了建议.