基本解释：压缩映射
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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
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。
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。
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。
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。
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。
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。
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。
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。
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。
Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings;多值压缩映射与多值Caristi型映射的不动点定理
Fixed Points for Mapping of cp-Contraction and Iterative Convergenceφ—压缩映射的不动点及迭代收敛性
New Fixed Point Theorems of Contraction Mappings in Banach Spaces;Banach空间中压缩映射的新不动点定理
Principle of compressed mapping and its application in finding limit of sequence of numbers;压缩映射原理在求数列极限中的应用
STABLITY OF THE ISHIKAWLA ITERATION PROCEDURE FOR QUASI-CONTRACTIVE MAPPING;Ιshikawa迭代程序对拟压缩映射的稳定性
Stability for Fixed Point Iteration Procedures of the Quasi-Contractive Mapping;拟压缩映射不动点迭代程序的稳定性
Common Fixed Point for a Pair of Contractive Mappings in 2-Distance Space;2—距离空间压缩映射对的公共不动点
A Sequence of Genrallized Quasi contraltive Mapping and Generalized Ishikawa s Iteration;广义拟压缩映射序列与广义Ishikawa迭代
On Radom Fixed Point Theorem of Demi -compact Random 1 - set Contractive Map关于半紧随机1-集压缩映射的随机不动点定理
The Common Fixed Point Theorems for a Pair of φ-Contractive Mappings (25)第(25)类φ-压缩映射对的公共不动点定理
Convergence Theorems of an Iteration Process for Asymptotically Pseudocontractive Mappings;Banach空间中渐近demi-压缩映射的迭代法的收敛性
The Characterisic Ideal of Sequenccs and the Compression Mappings on Primitive Sequences over Galois Rings;Galois环上序列特征理想及本原序列压缩映射
Converging Problem of Strictly Pseudocompress Mapping s Implicit Iteration Sequence;严格伪压缩映射隐迭代序列的收敛性问题
The Compression-mapping Principle and Its Role in Mathematical Analysis;压缩映射原理及其在数学分析中的作用
Some Fixed Point Theorems of Transpositive Multiplier Contractive Mappings;可换乘积压缩映射的某些不动点定理(英文)
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
New Fixed Points of Weakly Sequentially Continuous Semi-closed 1-Set Contraction Mappings弱序列连续的半闭1-集压缩映射的新不动点
A new fixed point theorem for multi-valued contractive mappings一个新的多值压缩映射不动点定理(英文)
