Fixed - point theorems for first kind of expansion operators 一種膨脹映射的不動(dòng)點(diǎn)定理
Fixed - point theorems in probabilistic n - meric space 度量空間中的不動(dòng)點(diǎn)定理
Banach fixed - point theorem and its randomization 不動(dòng)點(diǎn)定理及其隨機(jī)化
The eigenvalue and fixed - point theorem on near - algebra and banach algebra 代數(shù)上的特征值和不動(dòng)點(diǎn)定理
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 ] 摘要研究了緊度量空間上的不動(dòng)點(diǎn)問題。得到擴(kuò)張映射與壓縮映射的不動(dòng)點(diǎn)定理。推廣了文獻(xiàn)[ 1 ] 、 [ 2 ]的結(jié)果。
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年獲得了諾貝爾經(jīng)濟(jì)學(xué)獎(jiǎng), debreu是利用集值分析的方法以集值映射的不動(dòng)點(diǎn)定理為工具證明walras經(jīng)濟(jì)均衡理論的。
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 主要以不動(dòng)點(diǎn)定理和拼貼定理作為理論基礎(chǔ),對(duì)給定的圖像,尋找一組由壓縮仿射變換構(gòu)成的ifs ,使圖像通過仿射變換后盡可能與其相以。
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 某些主題可能沒有被視為是"凸分析"的組成部分,例如省略了定點(diǎn)定理,并不是因?yàn)樗鼈內(nèi)狈ξ驊?yīng)用,而是由于它們所需要的技術(shù)發(fā)展有點(diǎn)超出這本書的主流。
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 分形圖像壓縮的理論基礎(chǔ)是不動(dòng)點(diǎn)定理和拼貼定理,本文對(duì)拼貼定理進(jìn)行了推廣,得到擴(kuò)展拼貼定理,給出任意兩幅迭代圖像的hausdorff距離的控制表達(dá)式,原拼貼定理是擴(kuò)展拼貼定理的一個(gè)特例。
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 本文應(yīng)用泛函分析方法對(duì)一系列burgers - kdv型方程周期邊值問題的差分解進(jìn)行了分析,運(yùn)用各種不動(dòng)點(diǎn)原理證明了差分解的存在性,應(yīng)用sobolev空間的離散內(nèi)插公式得到了差分解及其各階差商的先驗(yàn)估計(jì),利用得到的先驗(yàn)估計(jì)證明了差分解的收斂性和穩(wěn)定性。