Deepen the open mapping theorem, define the closed mapping and the weakly closed mapping under untithesis, and also discuss some of their related properties.
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。
By discussing the filter product cosine operator function and the spectrum of it 's generator, the spectral mapping theorem for the locally equicontinuous cosine operator function is established.
通过对滤子积余弦算子函数及生成元谱性质的讨论，建立了局部等度连续余弦算子函数的谱映象定理。
A discussion on some characterized mapping conclusions similar to Cauchy integral theorem.
讨论具有某种特征映射的类似柯西积分定理的结论。
Moreover, we also get a fixed point theorem of uniform partial extension mapping and a fixed point theorem of quasi-extension mapping.
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。
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.
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。
This paper improves the positive fixed theorem for cone mapping and extends it to real linear topological Spaces.
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。
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.
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。
The concept of fuzzy homomorphism of groups is introduced based on the fuzzy mapping and the fundamental theorem of fuzzy homomorphism is given.
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。
A theorem of synthetic algorithm is proved by local quasi contraction mapping.
对局部拟压缩映射进行了讨论，并得到了关于综合算法的一个定理。
A new minimax theorem and some theorems for variational inequalities with generalized monotone multivalued mapping in H-spaces are obtained.
得到H -空间中的一个新的极大极小定理和几个广义单调集值映象的变分不等式定理。
In this paper, we will give a new type of fixed point theorem for non - self - mapping in a complete metrically convex metric space.
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。
We obtain equilibrium existence theorem of generalized games in L-convex space, where the preference correspondence is L_S-majorized mapping.
在L -凸空间中，证明了定性博弈和广义博弈的均衡存在定理。
In this paper we prove a common fixed point theorem for a class of sequences of mapping and mapping pair commuting with sequences.
本文给出一类映象序列和与其可交换的映象对的公共不动点定理。
Using the contraction mapping principle, we proved a theorem about the existence of solution for initial value problem of a class of implicit ordinary differential equations of the first order.
本文应用压缩映象原理证明了一阶隐式微分方程解的存在唯一性定理。
In this paper, we extend an important fixed point theorem for set-valued. A random fixed-point theorem for random set-valued semi-closed 1-set contraction mapping is obtained.
将集值半闭1 -集压缩映象的一个重要不动点定理随机化，得到随机集值半闭1 -集压缩映象的随机不动点定理。
We get a new theorem of the ambiguous points and a new theorem of the asgmptotic ambiguous point on the condensing mapping, and we point out some global characteristics of their eigenvalues.
本文得到全连续算子和锥映象的新的歧点和渐近歧点定理，并指出它们的固有值的某种全局特征。
We get a new theorem of the ambiguous points and a new theorem of the asgmptotic ambiguous point on the condensing mapping, and we point out some global characteristics of their eigenvalues.
本文得到全连续算子和锥映象的新的歧点和渐近歧点定理，并指出它们的固有值的某种全局特征。
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