深化算子的开映射定理，对偶地定义了算子的闭映射与弱闭映射，并讨论了相关的若干性质。
Deepen the open mapping theorem, define the closed mapping and the weakly closed mapping under untithesis, and also discuss some of their related properties.
它共分六个部分：映射定理；单叶调和函数的数值估计；特殊映射；变分方法；境界性质和在极小曲面中的应用。
It contains six parts: mapping theorems, numerical estimations of univalent harmonic functions, special mappings, variational method, boundary behavior and applications to minimal surfaces.
讨论具有某种特征映射的类似柯西积分定理的结论。
A discussion on some characterized mapping conclusions similar to Cauchy integral theorem.
另外，我们还得一个一致局部扩张映射不动点定理与一个准扩张映射不动点定理。
Moreover, we also get a fixed point theorem of uniform partial extension mapping and a fixed point theorem of quasi-extension mapping.
本文利用连续同伦方法讨论非线性映射在有界区域内零点的存在性和零点数目，以及推广若干经典定理。
With homotopy methods, this paper discusses the existence and the number of zeroes of nonlinear mappings on bounded regions and extends some classical theorems.
本文给出了2—距离空间中可交换映射序列的几个新的公共不动点定理。
Several new fixed-point theorems of commuting mapping sequences on a 2 - metric space are shown in this paper.
本文给出了凝聚映射的范数型锥拉伸和压缩定理。
In this paper, we showed the nome-type compression and expansion theorem of condensing maps.
对一族定义在局部广义凸一致空间的乘积空间上的集值映射，给出了一个集族不动点定理。
A collectively fixed point theorem for a family of set-valued mappings defined on a product space of locally generalized convex uniform Spaces is first proved.
在WF -模糊度量空间中建立压缩型和局部压缩型映射的不动点理论，推广一些重要的不动点定理。
The fixed point theorems for mappings of contractive type and locally contractive type on WF-fuzzy metric Spaces, which extend several important fixed point theorems, are established.
本文主要研究半序f -型拓扑空间中单调映射的不动点定理和一类非线性算子方程的可解性。
In this paper, we mainly discuss the fixed point theorems of monotone mappings and the solvability of a class of nonlinear operator equations in partially ordered F-type topological Spaces.
基于多层神经网络映射存在定理，建立近似结构分析的人工神经网络模型。
Based on the theorem of the existence of multilayered neural network mapping, a model of artificial neural network is set up for approximate structural analysis.
利用模糊映射，给出群的模糊同态的概念，并得到模糊同态基本定理。
The concept of fuzzy homomorphism of groups is introduced based on the fuzzy mapping and the fundamental theorem of fuzzy homomorphism is given.
给出关于集值映射连续选择和半连续选择的几个结果。 其中，定理1是E。
Some results on continuous selections and semicontinuous selections of Set-valued mappings are given in this paper, where theorem 1 is an improvement of E.
在局部凸线性拓扑向量空间讨论了一种锥凸集值映射的锥次微分的存在性问题，证明了几个锥次微分的存在定理。
The problem of the existence of a cone subdifferential for the cone convex set valued maps in the locally convex, linear and topological vector space is discussed.
性质的弱相容映射建立几个新的的公共不动点定理。
Some new common fixed point theorems are established under strict contractive conditions for weakly compatible mappings satisfying the property e.
最后，利用择一性定理，获得了含不等式和等式约束的广义次似凸集值映射向量最优化问题的最优性条件。
Finally, the optimality conditions for vector optimization problems with set valued maps with equality and inequality constraints are obtained with it.
运用上确界与下确界存在定理，在一定条件下，研究了连续函数的映射特点，得到一个连续函数所独有的映射规律。
According to the definite condition, the paper USES the theorem of supremum and infimum to study characteristic of mapping function and get its important law of the mapping.
此外，光学系统中像的辐射量度定理用来建立虚拟探测器平面与CCD相机平面之间的能量映射关系。
In addition, the radiance theorem is also adopted to establish the energy relationship between the virtual detector and the CCD camera.
第二章，利用广义r - KKM映射，在不具任何凸结构的一般拓扑空间中证明了一个新的关于容许集值映射的叠合定理。
In the second chapter, by using generalized R-KKM mappings, we obtain a new coincidence theorem for admissible set-valued mappings in topological Spaces without any convexity structure.
本文给出了2 -距离空间中有理压缩型映射对的几个公共不动点定理，改进并推广了某些已有的结果。
In this paper we present several common fixed point theorems for the form of rational compress pair of mapping in 2-metric space. The results improve and generalize some known results.
利用指数对应定理，将关于商映射的一个定理推广到上诱导拓扑的情形，并给出其在代数拓扑学中的若干应用。
Used the theorem of exponential correspondence, a theorem on quotient map was generalized to the cases of coinduced topology, and some applications of it in algebraic topology were also discussed.
引进了相对内部，应用凸集分离定理建立了一个广义凸集值映射的择一性定理。
Then relative interior is introduced and an alternative theorem of generalized convex set-valued maps is established by using the separation theorem.
定义了矩阵变换的最佳周期概念，给出了猫映射的最佳周期性定理。
The best transform period was secondly defined, and the best periodicity theorem for cat map was given.
然后，在实线性空间中建立了一个广义次似凸集值映射的择一性定理。
Then, a theorem of the alternative for generalized subconvexlike set valued maps in real linear spaces is established.
本文改进了锥映射正不动点定理，并且，推广到实线性拓扑空间。
This paper improves the positive fixed theorem for cone mapping and extends it to real linear topological Spaces.
本文给出在完备度量凸空间上非自映射的一类新的不动点定理。
In this paper, we will give a new type of fixed point theorem for non - self - mapping in a complete metrically convex metric space.
根据中心流形定理，高维映射与被降维的简化映射的局部分岔行为是等价的。
According to center manifold theory, high dimensional map and simplified map are equivalent near by bifurcation point.
本文建立了伪紧吉洪诺夫空间上的一对压缩映射的重合点定理，并且给出了伪紧吉洪诺大空间上的两对扩张映射的重合点定理。
In this paper, some coincidence point theorems for a pair of contractive type mappings and two pairs of expansive type mappings in pseudocompact Tichonov spaces are established.
本文建立了伪紧吉洪诺夫空间上的一对压缩映射的重合点定理，并且给出了伪紧吉洪诺大空间上的两对扩张映射的重合点定理。
In this paper, some coincidence point theorems for a pair of contractive type mappings and two pairs of expansive type mappings in pseudocompact Tichonov spaces are established.
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