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Under the conditions of compatibility or sub-compatibility between a set-valued mapping and a single-valued mapping, the existence of cotnnlon fixed points for two set-valued mapping and a single-valued mapping in complete metric space is discussed.

在集值映象与单值映象相容或次相容的条件下，讨论了度量空间中两个集值映象和一个单位映象的公共不动点的存在性，改进和推广了一些相应结果。

One of Hutchinson's basic results is: If {S〓,…, S〓} is a family of contract operators on a complete metric space, then there is a unique nonempty compact set K, such that K=〓.

Hutchinson的一个基本结论是：对于完备距离空间上的任一族有限压缩映射{S〓，…，S〓}，存在唯一的不变非空的紧集合K，〓。

Under the conditions of compatibility or sub-compatibility between a single-valued mapping and a set-valued mapping,a necessary and sufficient condition for set-valued mapping pair and single-valued mapping which have the common fixed point in complete convex metric space are given.

在单值映象与集值映象相容或次相容的条件下，给出了完备凸度量空间中集值映象对与单值映象存在公共不动点的一个充要条件，改进和推广了某些已知结果。

Wbe a complete convex metric space ,T be a beneral quasi-contractive mapping satisfying certain condition and {x n}be the Ishikawa type iterative sequence with errors of T.

设是完备的凸度量空间，T ：E→E是广义拟—压缩映象，{xn}为T的带误差项的Ishikawa迭代序列。

By mean of the method of upper and lower solutions, we will obtain a existence theorem like Kazdan-Warners. Using this theorem, we will study the vortex equation in holomorphic line bundle over complex manifold and prove a theorem of existence of Hermitian metric with a prescribed holomorphic section.

在本论文的最后部分，我们在紧复流形上讨论一类Kazdan-Warner型方程，用上下解方法得到了光滑解存在的Kazdan-Warner型定理，并将其用于研究全纯线丛的涡旋方程，得到了一个具有预定全纯截面的厄米度量的存在定理。

The central goal of this work is trying to generalize the above result to the Higgs version case, which should be helpful to the study of some question, say variants of the Kobayashi-Hitchin correspondence. The theorem to be proved here is the followingTheorem 02: Let M be a compact complex manifold of dimension m with a Hermitian standard metric g and let be a Higgs bundle over M.

本文的一个主要的目的是把上面的定理推广到E是—Higgs向量丛的情形；这一结果的意义在于在研究与Kobayashi-Hitchin correspondence相关的问题，如考虑Kobayashi-Hitchin correspondence的形变展现它的作用。

And the metric invariant of extensional relativity in compressible fluid me2

误差量级不大于现有对相对论效应验证试验的精度。

But develop an institute according to Shanghai committee of planning and Beijing economy and society the metric analysis result of two tasks group is computative, shanghai should reach the high level with modern metropolitan international, still have the space of 70%.

但据上海市计委与北京市经济与社会发展研究所两个课题组的计量分析结果推算，上海要达到现代化国际大都市的高级阶段，还有70%的距离。

By using projective metric, in this paper, a new kind of condition number is defined for homogeneous polynomial eigenvalue problems.

这两种条件数都有各自的应用范围。

On the other hand,the conformal deformations problem is to find a metric on H2(-1), conformal to g,with the given function K as its Gaussian curvature ,that is,it is important for us to study the solvability of the conformal Gauss curvature equation in geometry analysis.

e~(2u)g，它的高斯曲率函数K满足共形高斯曲率方程Δ_gu+1+Ke~(2u)=0。另一方面，对H~2(-1)上预先给定的一个函数K，共形形变问题-寻找g的共形度量=e~(2u)g使K是的高斯曲率，即共形高斯曲率方程的可解性研究是几何分析中的一个重要问题。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。