1) Banach compression mapping
Banach压缩映射
2) Banach contracion mapping principle
Banach压缩映像
3) banach contraction mapping principle
Banach压缩映像原理
1.
The crucial tools in the proofs are maximum principle and Banach contraction mapping principle.
本文用最大值原理和Banach压缩映像原理研究了一类常见广义电报方程的概周期解问题,证明了该概周期解的存在性及在‖u‖L∞<1中的唯一性。
2.
In this paper,by using the Banach contraction mapping principle and the theory of cone,the existence and uniqueness theorems of fixed point for a class of abstract two binary operator in Banach spaces are obtained,which are no restriction of continuous or compact.
在Banach空间中,利用非线性分析中的锥理论和Banach压缩映像原理,在对算子不作任何连续性和紧性假设的条件下,得到了一类抽象二元算子藕合不动点的存在唯一性定理,所得结果改进统一了前人的许多成果,使得该结论更易于实际应用。
3.
In this paper,we study the pseudo almost periodic solution of the forced pendulum equation with the definition of pseudo almost periodic functions and the Banach contraction mapping principle.
利用伪概周期函数的性质和Banach压缩映像原理研究受迫摆方程的伪概周期解问题,证明伪概周期解的存在性及在条件‖y-π‖L∞<π2下的唯一性。
4) Banach contraction mapping principle
Banach压缩映象原理
1.
By using the cone theory and the Banach contraction mapping principle, the existence and uniqueness theorem of solutions for a class of nonlinear operator equations in ordered Banach spaces are investigated in more general condition.
该文在更广泛的条件下,利用锥理论和Banach压缩映象原理证明了序Banach空间中一类非线性算子方程解的存在唯一性定理,并应用到Banach空间中二阶非线性混合型微分-积分方程初值问题,改进并推广了已有的一些结果。
2.
This paper discusses a class of nonlinear equation with a parameter by means of the cone theory and Banach contraction mapping principle, it is proved that the existence and uniqueness of solutions for this kind equations and continuous dependence of solutions on the parameter.
该文利用锥理论和 Banach压缩映象原理讨论了一类含参数的非线性算子方程 ,证明了这类方程解的存在唯一性及其解对参数的连续相依性定理 ,并给出了对 Banach空间中含参数的一阶积 -微分方程初值问题的应
3.
With the cone theory and Banach contraction mapping principle,it is proved that the existence and uniqueness of solutions for a class of nonlinear operator equations without the assumption of continuity and compactness and upper-lower solutions of operators.
在不假定算子具有连续性和紧性的条件下 ,利用锥理论和Banach压缩映象原理证明了一类非线性算子方程解的存在唯一性定理 ,并应用到Banach空间中常微分方程的初值问
5) 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。
6) 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。
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
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参考词条