contraction mapping
英 [kənˈtrækʃn ˈmæpɪŋ]
美 [kənˈtrækʃn ˈmæpɪŋ]
网络 压缩映射; 一个收缩映射
双语例句
- By using the contraction mapping principle, the boundary value problems for a second order functional difference equation are investigated. Existence and uniqueness results are obtained.
利用压缩映照定理，研究了一个二阶泛函差分方程边值问题，得到存在和唯一性定理。 - Application of Contraction Mapping Theorem in Accelerometer Calibration for Inertial Navigation System
压缩映射原理在平台惯导系统加速度计标定中的应用 - Common Fixed Point for A Class of Twice Power Type Φ-Contraction Mapping in 2-Metric Spaces
2-距离空间中两类Φ-压缩映象的公共不动点定理 - The crucial tools in the proofs are maximum principle and Banach contraction mapping principle.
讨论利用压缩映象原理、相似矩阵及图解法求其极限的方法。 - With respect to the periodic solution to a impulsive system, a study is carried out on the existence of periodic solutions by means of the contraction mapping principle.
研究一类脉冲非齐次强迫振动的周期解，结合运用压缩映射原理，给出保证系统存在周期解的一组充分条件。 - By making use of contraction mapping principle and similar matrices and graphical method, this paper discusses some methods of asking its limit in accordance with recurrent sequence of number.
利用压缩映像原理，给出了一类带强迫项的多滞量高阶微分方程所有非振动解趋于零的必要条件，并推广了相应的结果。 - 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。 - In this paper, existence of solution of fixed nonlinear integral and differential equation in Banach space is proved by means of fixed point theorem of strictly set contraction mapping, and a concrete example is listed.
利用严格集压缩映射的不动点定理可以证明Banach空间中混合型非线性积分微分方程解的存在性，并给出了一个具体应用。 - 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。 - This paper focuses on the stability condition of equilibrium by using contraction mapping and fixed point principle.
本文应用压缩映照及不动点原理给出平衡点稳定的一些条件。 - A 3-D Lotka-Volterra ecological system is considered. The existence of almost-periodic solution and its stability are explored based on contraction mapping principle. Some known results are broadened.
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。 - Equivalence Between Boyd and Wong's Fixed Piont Theorem And Banach's Contraction Mapping Principle
Boyd和Wong映象与Banach压缩映象原理的等价性 - In this paper, a new fixed point theorem for multi-Valued contraction mapping in non-Archimedean probabilistic metric spaces is given, which includes some know results as special cases.
本文研究非阿基米德概率度量空间中的一类新型的多值压缩型映象的不动点问题，得到一个新的结果，推广了一些已知的结果。 - Equivalence Between a Contraction Mapping Fixed Point Theorem and Banach Fixed Point Theorem
一个收缩映像不动点定理与Banach不动点定理的等价性 - This result generalizes the result of local contraction mapping obtained in Fara ( 1).
此结果推广了Fora[1]中关于局部压缩映象的结果。 - In this paper the author proves some common fixed point theorems for φ contraction mapping in topological space. The results unify, generalize and improve the related results in [ 1~ 6].
在拓扑空间中证明了一类φ-压缩映射的几个新的公共不动点定理，所得结果推广和统一了[1～6]中的某些重要结果。 - 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。 - A method based on the application of contraction mapping theorem and tiny parameter perturbation was proposed and applied to the control of the chaotic attitude motion of a magnetic rigid spacecraft in complex force fields.
提出了压缩映射-参数微扰方法应用于控制受地球磁场和万有引力场共同作用，具有结构内阻尼的磁性刚体航天器在接近地球赤道面的圆轨道上的混沌姿态运动。 - Therefore, the Contraction mapping principle in semi-metric space has been proved.
进而证明了半度量空间中的压缩映像原理。 - In this paper, contraction mapping principle in fuzzy normed linear space is given, and the assertion is generalized.
文中给出了Fuzzy赋范线性空间上的压缩映射原理，并将其结果加以推广。 - Generalization of the contraction mapping theorem
压缩映射定理的一个推广 - [ 1-4] considered the almost periodic perturbation systems of the form,, By using the contraction mapping principle, some sufficient conditions are obtained for the existence and uniqueness of almost periodic solution and bounded solution of these systems.
文献[1-4]考虑了扰动系统，，利用压缩映象原理，得到了上述系统存在唯一概周期解和有界解的一些充分条件。 - Associated with the variational systems of non-perturbation systems, a kind of almost periodic perturbation system with deviating argument is investigated by using the contraction mapping principle. A set of sufficient conditions for the existence and uniqueness of the systems is obtained.
结合非扰动系统关于其概周期解的变分方程系，运用压缩映射原理研究一类具有偏差变元概周期扰动系统的概周期解，获得系统存在唯一概周期解的一组充分条件。 - Secondly, the existence and uniqueness of the generalized local solution is obtained using the contraction mapping principle.
然后利用压缩映象原理方法，证明了方程局部广义解的存在唯一性； - Firstly, using the contraction mapping principle, combining some priori estimates and the convergence of Bessel function, the well_posedness of solutions of the initial value problem in twice continuous differentiable space was obtained according to the equivalent integral equation of initial value problem for the Klein_Gordon equations.
首先利用压缩映象原理，结合一些先验估计式及Bessel函数的收敛性，根据KleinGordon方程初值问题的等价积分方程，在二次连续可微空间中得到了初值问题解的适定性； - Since early last century, Banach contraction mapping principle is presented by Banach, it has been widely applications in many fields.
自从上个世纪初期，Banach提出了Banach压缩映象原理以来，Banach压缩原理得以普遍应用。 - By the use of the fixed point theorem and the contraction mapping principle, the existence and uniqueness of solutions are given under the suitable conditions.
在合适的条件下，利用不动点定理和压缩映像原理，获得了相应边值问题解的存在性、唯一性。 - Several algorithms for semidefinite programming are studied, which include the contraction mapping algorithm and predictor-corrector algorithm. Firstly, the basics knowledge of SDP is introduced.
文中主要对半定规划的若干算法进行了研究，其中包括预测校正算法和收缩映射算法。 - By utilizing the properties of evolution systems, some sufficient conditions under which a mild solution exists globally in any given interval are established, via Leray-Schauder Alternative approach. The continuous dependence of solutions on initial functions is also ob-tained using Banach contraction mapping theorem.
利用发展系统的特征和Leray-Schauder选择定理，给出了解在定义区间上全局存在的充分条件，并建立了解对初值的连续依赖性。 - And second, with the help of the contraction mapping principle, and based on a kind of semi-linear dynamic equations on time scales, an asymptotically stable periodic solution is obtained. In addition, we also study the boundedness and asymptotic stability of solutions.
其次，通过压缩映像原理，我们讨论了一类半线性时标动力学方程周期解的存在性和渐近稳定性。