完备度量空间

By using generalized-weak commutativity mapping, the existence of common fixed point for this class of contractive type mappings is studied in complete metric space, a common fixed point theorem for contractive type mappings is obtained, which largely improve and extend the corresponding results in some references.

通过使用映象的广义弱交换条件，在完备度量空间中研究了更为广泛的一类压缩型映象的公共不动点的存在性，给出了一个新的公共不动点定理，从而在很大程度上改进和推广了现有文献中的一些结果。

We proved that there exists a dense G (subscript δ) subset of the complete metric space consisting of the vector optimization problems satisfying some conditions ,and each problem in the dense G (subscript δ) subset has stable solution set, which generalized the corresponding results in the literature.

证明了满足一定条件的向量优化问题构成的完备度量空间中，存在一个稠密G集，在此稠密集中每个问题的解集都是稳定的，推广了文献中的相应结果。

Does research in a common fixed point theorem of fuzzy mapping s in inequality conditions and the cut set is the nonempty closed bounded subsets of,while is complete metric space.

2，研究了在完备度量空间中一对模糊映象满足一些特定不等式条件，以及当其截集是中非空有界闭集时，该对模糊映象的公共不动点的存在性问题。

This paper deals with an existence theorem for a class of quasi-equilibrium problem s in com-pletp metric spaces.

研究完备度量空间中一类拟均衡问题的可解性，由此导出著名的Ekeland变分原理。

We introduce the uniform Hausdorff metric H on the space 〓 offuzzy complex numbers and investigate the topological structure of 〓.We show the completeness of 〓 and study on 〓 limits of thesequence of fuzzy complex numbers,metrical and leverwise convergence,and relation between metrical convergence and leverwise convergence.Weprove the equivalence theorem of metrical convergence and leverwiseconvergence on 〓.

在模糊复数空间〓上引进一致Hausdorff度量H，讨论了模糊复数空间的拓扑结构，证明了的完备性，并在完备的模糊复数度量空间上研究了模糊复数列的极限、度量收敛和水平收敛，讨论了度量收敛与水平收敛之间的关系，在上证明了度量收敛与水平收敛的等价性定理。

The property of the invariant set and measures dimension of the IFS are main objects in the studying of fractal geometry.

完备度量空间上迭代函数系统的不变集性质及测度的维数是分形几何研究的主要对象。

According to the existence results of general equilibrium problems and vector equilibrium problems have been studied more and more. Inspired and motivated by these research results, this paper is devoted to study systematically a class of equilibrium problems, which is unify and extension of a large number of known equilibrium problems and variational inequalities problems. The research is carried on from three aspects.Firstly, in finitely continuous topological spaces, we introduce four new types of the system of generalized vector quasi-equilibrium problems, and we derive some existence results of a solution for the system of generalized vector quasi-equilibrium problems via the maximal element theorems in product finitely continuous topological spaces.Secondly, in complete metric spaces, we provide the Ekeland variational principle to equilibrium problems with set-valued maps. And via the Ekeland variational principle, existence results for vector equilibrium problem with set-valued maps and the system of vector equilibrium problem with set-valued maps.

针对一般的均衡问题和向量均衡问题解的存在性，已有许多研究成果，受这些成果的启发，本文主要从理论上较为系统地研究了一类均衡问题，它统一和推广了许多已有的均衡问题和变分不等式问题，研究分有三个方面；首先，在有限连续拓扑空间中，我们提出了四类广义向量拟均衡系，并借助于有限连续拓扑空间中的极大元定理讨论了这四类均衡系问题的解的存在性问题，然后，在完备度量空间中，我们给出了关于集值均衡问题的Ekeland变分原理，并利用Ekeland变分原理分别讨论了集值向量均衡问题和集值向量均衡系问题的解的存在性。

The measurement in set theory, the properties of Metric Space, Measurement Topology, Measurable Space, Perfect Metric Space and its application in first order circuit are explored in this paper.

本文论述了集合上的度量、度量空间的性质、度量拓扑、可度量化空间、完备度量空间、及一阶电路中的度量空间。

The existences of common fixed points and fixed points for set valued mapping s in a complete normed space are discussed.

在更一般的条件下，研究了完备度量空间中集值映象的重合点和不动点存在性问

We introduce a set of real functions H, and use to it to give a fixed point theorem of tother type for complex mappings on complete metric spaces, which improves and generalizes the corresponding results on compact metric spaces or under the condition of weakening compactness obtained by Fisher, Telci and Xu Xiao-li, respectively.

利用引入的实函数类H，在完备度量空间上给出了复合映射的另一种类型的不动点定理，改进并推广了Fisher、Telci和徐晓立等在紧致度量空间上或在弱化紧性条件下得到的相应结果。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。