Spaces of idempotent measures of compact metric spaces

We investigate certain geometric properties of the spaces of idempotent measures. In particular, we prove that the space of idempotent measures on an infinite compact metric space is homeomorphic to the Hilbert cube.     

On Weyl almost periodic selections of multivalued maps

We prove that Weyl almost periodic multivalued maps R∋t→F(t)∈clU have Weyl almost periodic selections, where clU is the collection of non-empty closed sets of a complete metric space U.     

Fixed point theorems for multivalued nonexpansive mappings satisfying inwardness conditions

Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies the nonstrict Opial condition. Let C be a bounded closed convex subset of X, KC(X) the family of all compact convex subsets of X and T a nonexpansive mapping from C into KC(X) with bounded range. We prove that T has a fixed point. The nonstrict Opial condition can be removed if, in addition, T is an 1-χ-contractive mapping.     

深海富钴结核微区X射线荧光光谱分析和数据挖掘

西太平洋富钴结核是近年来新发现的海底固体矿产资源,富含M n,Fe,Co,Ni和Cu等多种关键金属元素.富钴结核是一种非均质的地球化学和矿物学集合体,粒径约6 cm的结核在生长过程中记录了数千万年的海洋沉积历史,亟需高分辨率的分析技术揭示古海洋环境信息.采用微区X射线荧光光谱仪(μ-XRF),对C3BC1704富钴结核...     

The optimality principle for discrete and first order partial differential inclusions

Necessary and sufficient conditions for optimality are derived for the problems under consideration on the basis of the apparatus of locally conjugate mappings and local tents.     

On multivalued complementarity problems in Banach spaces

In this paper, we prove a new existence result for multivalued complementarity problems in Banach spaces. Our result represents a refinement and improvement of the previously known results.     

光滑函数集列紧的一个判据

本文讨论紧区间上的C~1光滑函数,用6-网构造法证明了这种函数集合列紧的一个判据,从而使著名的Ascoli-Arzela引理在光滑情形下得到推广,这一结果对讨论光滑动力系统有重要意义。     

基于自组织特征映射聚类算法的研究与应用

讨论了基于自组织特征映射网络聚类算法的基本原理，并给出了基于关系数据库的具体实现方法，通过对实例的具体测试，证明算法是有效的，并对算法的参数进行了讨论．     

Park不动点定理与多值单调算子的隐补问题

应用Park不动点定理,在Banach空间中证明了多值单调算子的隐补问题解的存在性定理.     

三值逻辑函数的降维K图表示及其应用

本文分析了在发展三值函数降维K图中的困难,提出了用数组表示填入函数的降维K图形式,并讨论了它在函数的与/或最小化及T门综合中的应用