1) ε-compressing mapping
ε-压缩映射
1.
Some properties like ε-connectedness is remained by ε-compressing mapping,connectedness is finit-producted are all valid in weak distance measure spaces.
定义弱区别度空间及它们之间的连续映射,ε-压缩映射,压缩映射,并指出这几个映射之间的关系,继而又定义了乘积弱区别度空间,ε-连通空间,连通空间而且还给出了连通空间的等价刻画。
2) contraction mapping
压缩映射
1.
A discussion on the interior and outer measures of sets under contraction mappings;
对压缩映射下集合内外测度的探讨
2.
The existence of almost-periodic solution and its stability are explored based on contraction mapping principle.
主要研究了3维Lotka-volterra生态概周期系统,利用压缩映射原理得到正概周期解的存在性和稳定性,推广了某些已知结果。
3.
Solution to (LEG) Linear Equation Group problemis studied in this paper, and a non-linear iterativealgorithmis deduced by using contraction mapping theorem, fixed point theory and relatedmatrix properties.
利用压缩映射定理、不动点原理及矩阵的相关性质 ,对求解一般线性方程组问题进行了研究 ,导出了一种求解线性方程组的非线性迭代算法。
3) contractive mapping
压缩映射
1.
This paper applies contractive mapping genetic algorithm to learning of multiplayer feedforward neural network.
将压缩映射遗传算法应用于 BP神经网络的数学模型 ,构建一种新型的压缩映射神经网络 ,这种神经网络收敛于全局最优解。
2.
The contractive mappings in the vector space,which is with vector norm are defined by a map on the vector lattice.
在具有向量值范数的实向量空间上,通过引入一个定义在向量格上的特殊映射来讨论压缩映射,并证明相应的不动点定理。
3.
In this paper we study the contractive mappings in vector space with vector norm by a map Φ defined on a order-complete vector lattice and obtain a fixed point theorem.
在具有向量值范数的实向量空间上,利用一个定义在序完备向量格上的特殊映射Φ来引入压缩映射,并证明相应的压缩映射的不动点定理。
4) compression mapping
压缩映射
1.
Some Banach Fixed point theories in common use,that is,compression mapping theories are introduced in this paper.
本文介绍了常用的Banach不动点定理即压缩映射原理,重点讨论了它在方程中有关解存在问题应用实例,从而阐述了Banach不动点定理的理论价值和实际应用。
2.
On the basis of the original theorem, this article gets two fixed -point theorems of compression mapping by relaxing the condition of compression and according to the character of compact distance and space.
本文在原定理的基础上,通过放松压缩条件,并依据紧距离空间的特性,得出了两个压缩映射的不动点定理,使定理适应范围更加广泛,改进了[1]中的结果。
5) contraction map
压缩映射
1.
Methods The method of estimating invariant set s Hausdorff dimension of a finite collection of contraction maps was used.
方法利用压缩映射不变集的维数的估计方法。
2.
This paper proposes a random contraction map in probabilistic metric spaces,and gives some new fixed point theorem of probabilistic metric spaces.
给出广义概率度量空间上的随机压缩映射的新定义,统一了概率度量空间中的概率压缩,E-空间中的强压缩,随机度量空间中的几乎处处压缩和均匀压缩的定义。
6) Banach compression mapping
Banach压缩映射
补充资料：压缩映射原理
压缩映射原理
contracting -mapping principie
压缩映射原理[阴加‘飞一maPPing州ndpfe;“哪脚-川联or‘吻嫂.浦n钾IIu恤] 一个定理，断言完全度量空间(X，p)(或这样的空间的一个闭子集)到它自身的映射f的不动点(flxedpoint)的存在性与唯一性，如果对任何的x‘，x”，不等式 P(f(x‘)，f(x’‘))《宁试x‘，x’‘)(l)成立，这里q为某个固定的常数，O
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条