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压缩映射     
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  contraction mapping
     This paper studies the property of initial layer of initial value problem for the nonlinear equations with slow variable x′=g(t,x,y),εy"=h(t,x,y,μy′) when ε=O(μ 2) By contraction mapping,the existence of perturbed solutions is proved and the uniformly valid asymptotic expansions of the solutions are obtained.
     研究含慢变量非线性方程组初值问题 :x′=g(t,x,y) ,εy"=h(t,x,y,μy′)当 ε=O(μ2 )时的初始层性质 ,通过压缩映射证明了摄动解的存在 ,得到了解的一致有效的渐近展开式
短句来源
     In this paper,with the theory of trigonometrical series and contraction mapping principle,some sufficient conditions for the existence and uniqueness of periodic solution to Duffing equation ax″+bx+g(x(t~τ))=p(t) are obtained.
     利用三角级数理论及压缩映射原理研究了时滞Duffing型方程ax″(t)+bx(t)+g(x(t-τ))=p(t),给出了此类Duffing型方程存在唯一周期解的几个充分条件.
短句来源
     Theorem 2.1 and 2.3 in the paper are the two research findings while Theorem 2.2 has developed Banach′s contraction mapping principle.
     定理2.1和定理2.3是这方面研究的两个结果,定理2.2拓展了Banach压缩映射原理.
短句来源
     A Fixed Point Theorem on 1 Set Contraction Mapping
     1-集压缩映射的不动点定理
短句来源
     In 1922,Banach proved the existence of fixed point for contraction mapping.
     1922年,Banach证明了压缩映射的不动点的存在性。
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  contractive mapping
     In this paper, we give some results for the solution of Ax=μx in a wedge with a Demi Compact 1 set Contractive mapping A in a Banach space on the basis of documents -.
     本文在[1]-[5]的基础上给出Banach空间中楔形上具半紧1-集压缩映射A的Ax=μx的解的某些结果。
短句来源
     In the first section, we get the folio-wing theorem for the single valued mappingt Let E be an infinite-dimensional real Banach Space and let Sr={x∈E| ||x||=r},let T: Sr→E be k-set contractive mapping.
     首先在第1节中就单值映射的情形得到了如下结果:设E是无限维实Banach空间,Sr={∈|‖x‖=r},T:Sr→E是k—集压缩映射,如果T满足inf‖Tx‖=α>kr,则T有正固有值.
短句来源
     Study Coupling Between Neural Network and Contractive Mapping Genetic Algorithm
     神经网络与压缩映射遗传算法耦合技术研究
短句来源
     Fixed Point Theorems for Two Classes of Rclativly Contractive Mapping on Probabilistic Metric Spaces
     概率度量空间中两类相对压缩映射的不动点定理
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     Fixed Point Theorem For a Generalized Contractive Mapping
     一类广义压缩映射的不动点定理
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  contraction mappings
     Common fixed point theorem for a class of Φ-A contraction mappings
     一类Φ-A压缩映射的公共不动点定理
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     Fixed Point Theorems of Φ-Contraction and Φ-Local Contraction Mappings in F-type Topological Spaces
     F-型拓扑空间上Φ-压缩和局部Φ-压缩映射的不动点定理
短句来源
     Based on, we obtain the corresponding fixed point theorems of Φ-contraction and Φ-local contraction mappings in Hausdorff topological vector spaces and Menger probability metric spaces.
     据此,得到了Hausdorff拓扑向量空间和Menger概率度量空间上相应的Φ-压缩和局部Φ-压缩映射的不动点定理。
短句来源
     Given a common fixed point theorem for a pair of contraction mappings (3). extend theresults in [1~2].
     给出了第(3)类-压缩映射对的一个公共不动点定理,推广了[1~2]中的相关结果.
短句来源
     Common Fixed Point Theorems For Meir-Keeler Type Set-Valued Contraction Mappings
     Meir-Keeler型集值压缩映射的公共不动点定理
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  compression mapping
     On Fixed -Point Theorem of Compression Mapping in the Compact Distance and Space
     关于紧距离空间中压缩映射的不动点定理
短句来源
     In this paper, to study fixed-point of compact metric space, and obtain one pair fixed-point theorems of expansion Mapping and compression Mapping.
     研究了紧度量空间上的不动点问题. 得到扩张映射与压缩映射的不动点定理.
短句来源
     Making use the compression mapping principe of the Banach space, We establish the existence theorem of positive solutions of the even number order linaer neutral delay differential equations.
     利用Banach空间的压缩映射原理,建立了偶数阶线性中立型时滞微分方程正解的存在性定理。
短句来源
     Also, the influence on learning convergence from compression mapping in those CMAC models with actual neurons is discussed.
     对于存在实际层神经元的CMAC模型,讨论了压缩映射对网络学习收敛性的影响。
短句来源
     We prove in this paper that topological entropy is zero,in systems of equivariant mapping,that systems of compression mapping,and systems of the homeomorphism of unit circle onto itself,while the toppological entropy is positive,that extensible mapping in the compact toppological metric space.
     证明了在一般的紧致度量空间上,等距映射的系统,压缩映射的系统,单位圆上的自同胚映射的系统等的拓扑熵都为零,而可扩映射的系统有正的拓扑熵。
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  contraction mapping
Under certain conditions, the existence of two different solutions is proved by the contraction mapping method.
      
The solvability of these equations is studied by the contraction mapping principle.
      
After a number of estimates, we utilize the Contraction Mapping Principle to prove the global well-posedness of this equation in a certain discrete Banach space.
      
We present a numerical algorithm which is based on successive iterations to obtain a fixed point guaranteed by the Contraction Mapping Principle.
      
A modified fractal interpolation method using a contraction mapping approach was used to construct unique fractal interpolated surfaces.
      
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  contractive mapping
Approximation of fixed points of strictly pseudo-contractive mapping without Lipschitz assumption
      
Let K be a closed convex subset of a real reflexive Banach space E, T:K→K be a nonexpansive mapping, and f:K→K be a fixed weakly contractive (may not be contractive) mapping.
      
The decoupled temperature equation is investigated by using accurate estimation and the contractive mapping principle.
      
Rakotch's contractive mapping theorem and a theorem concerning the convergent proof of the iteration method are presented.
      
In this paper, the iterative approximation of the solution of nonlinear equation Tx=y is given and the iterative approximation of a fixed point of a locally Lipschitzian and strictly pseudo-contractive mapping is discussed.
      
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  contraction mappings
Corresponding to the irreducible 0-1 matrix (aij)n×n, take similitude contraction mappings?ij for eachaij=1, inaij=1, in Rd with ratio 0>amp;lt;rij>amp;lt;1.
      
Fixed point theorems of local contraction mappings on menger spaces
      
In this paper we draw some coincidence and common fixed point theorems for nonlinear hybrid contraction mappings on probabilistic metric spaces with a convex structure.
      
Nonlinear vector integral equations as contraction mappings
      
Hilbert's metric and positive contraction mappings in a Banach space
      
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