| 1. | Fixed - point theorems for first kind of expansion operators
一种膨胀映射的不动点定理 |
| 2. | Fixed - point theorems in probabilistic n - meric space
度量空间中的不动点定理 |
| 3. | Banach fixed - point theorem and its randomization
不动点定理及其随机化 |
| 4. | The eigenvalue and fixed - point theorem on near - algebra and banach algebra
代数上的特征值和不动点定理 |
| 5. | In this paper , to study fixed - point of compact metric space , and obtain one pair fixed - point theorems of expansion mapping and compression mapping . the results are improved in the papers [ 1 ] , [ 2 ]
摘要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。推广了文献[ 1 ] 、 [ 2 ]的结果。 |
| 6. | Therefore debreu won the nobel economics prize in 1983 , debreu proved the walras compete competition equilibrium exist theorem by fixed - point theorem of set - valued mapping
Debreu也因此于1983年获得了诺贝尔经济学奖， debreu是利用集值分析的方法以集值映射的不动点定理为工具证明walras经济均衡理论的。 |
| 7. | The main idea is to find an ifs which consists of a set of contractive affine transformations mainly based on fixed - point theorem and collage theorem , when they are applied on the original image , the union of the transformed images will cover up the original image
主要以不动点定理和拼贴定理作为理论基础，对给定的图像，寻找一组由压缩仿射变换构成的ifs ，使图像通过仿射变换后尽可能与其相以。 |
| 8. | Certain topics which might properly not be regarded as part of “ convex analysis ” , such as fixed - point theorems , have been omitted , not because they lack charm or applications , but because they would have required technical developments somewhat outside the mainstream of the rest of the book
某些主题可能没有被视为是"凸分析"的组成部分，例如省略了定点定理,并不是因为它们缺乏吸引力或应用,而是由于它们所需要的技术发展有点超出这本书的主流。 |
| 9. | Fractal image compression is based on the fixed - point theorem and the collage theorem proposed by m . barnsley in 1988 . in chapter three the extend collage theorem is presented which gives the control expression of the hausdorff distance between two iterated images
分形图像压缩的理论基础是不动点定理和拼贴定理，本文对拼贴定理进行了推广，得到扩展拼贴定理，给出任意两幅迭代图像的hausdorff距离的控制表达式，原拼贴定理是扩展拼贴定理的一个特例。 |
| 10. | In this paper , we analyze difference solutions of the burgers - kdv type equations with the periodic boundary condition by use of functional analysis method . the existence of difference solutions is proved by fixed - point theorem and the priori estimates of the difference solution are obtained using interpolation formula of sobolev space . the convergence and stability are proved
本文应用泛函分析方法对一系列burgers - kdv型方程周期边值问题的差分解进行了分析，运用各种不动点原理证明了差分解的存在性，应用sobolev空间的离散内插公式得到了差分解及其各阶差商的先验估计，利用得到的先验估计证明了差分解的收敛性和稳定性。 |
