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1)  fixed point
不动点
1.
A note on iterative approximation of fixed points of strictly pseudocontractive mapping;
关于严格伪压缩映象不动点迭代逼近的一点注记
2.
Approximations for the common fixed points of finite nonexpansive mappings in the uniformly convex Banach spaces;
一致凸Banach空间中有限个非扩张映射的公共不动点的逼近
3.
Fixed point theorems in a complete metric space;
完备度量空间上的不动点定理
2)  fixed points
不动点
1.
The relation between solutions of a class of second order differential equation with the fixed points;
关于一类二阶微分方程的解和不动点的关系
2.
The fixed points of solutions of higher order complex differential equations with meromorphic coefficients;
亚纯函数系数高阶复域微分方程解的不动点
3.
The hyper order and fixed points of the derivatives of solutions for some higher order linear differential equation;
某类高阶线性微分方程解的导函数的不动点与超级
3)  fixed-point
不动点
1.
Homotopy method for Nonconvex Brouwer Fixed-point Problem;
同伦方法求解非凸区域Brouwer不动点问题
2.
Some existence criteria of positive solution to the boundary value problem for nonlinear first-order dynamic equation were given by using Guo-Krasnoselskii s fixed-point theorem.
运用Guo-Krasnoselskii不动点定理,给出了非线性一阶动力方程边值问题正解的存在性标准。
3.
Three kinds of expansion mappings and relevant fixed-point theorems were initiated and proved by Wang Shangzhi.
3种膨胀映射的定义及其相应的不动点定理是由王尚志等首先提出和建立的。
4)  fix point
不动点
1.
The Fix Point and Hyper of Solutions of Higher Order Linear Differential Equations with Meromorphic Function Coefficents
亚纯函数系数的高阶线性微分方程解的不动点和超级
2.
The distribution of fix points of the family is discussed on real axis with deferent values of parameter λ.
Kapoor研究整函数族的实轴分析方法研究了具有第三类间断点的亚纯函数族fλ(z) =λz-1ez(λ >0 )的动力特性 ,得到了在参数λ取不同值时该亚纯函数族在实轴上的不动点分布情况 ,进而澄清实轴上点的迭代轨道通
3.
The fix point of solutions and the derivatives of solutions of comples higher order nonhomogeneous linear differenliad equations are studied,and getting one result of fixed point of higher order nonhomogeneous linear differenliad equations with meromorphic coefficents,the results obtained generalize the related results of some authors.
研究了非齐次线性微分方程的解及其解的导数的不动点与超级问题,得到了亚纯函数系数的非齐次线性微分方程的解及其解的导数的不动点的一个结果,所得结果推广了一些相关结果。
5)  fixed point theorem
不动点
1.
By using the fixed point theorem,we show the existence of positive solutions of a singular second-order three-point system,where 0<η<1,and a(t),b(t) are singular at t=0,1.
应用不动点理论,研究了下列奇异非线性二阶三点方程组边值问题u″(t)+a(t)f(t,u,v)=0,0
2.
Using the fixed point theorem to discuss the uniqueness of solution for a class of semilinear singular development equations,using the comparison inequality to study the global solution,it is proveed the existence of unique and global solution.
不动点定理来讨论一类奇异半线性发展方程组解的存在性和唯一性问题,用比较不等式来讨论整体解的问题,得到在一定条件下奇异半线性发展方程组的整体解存在唯一。
6)  fixed point set
不动点集
1.
An involution on a closed manifold with the fixed point set RP(1)∪P(1,8);
对合的不动点集为RP(1)∪P(1,8)的流形
2.
Iterative procedure of fixed point set for generalized lipschitz and multivalued asymptotically Φ-Hemicontractive mappings;
广义Lipschitz多值渐近Φ-半压缩映象不动点集的迭代程序
3.
(Mr,T)denotes the smooth involution with fixed point set F,If F= P(m,n)×HP(1),then(Mr,T)is bounded(m=8k, n>m and n is odd).
设(Mr,T)是一个在r维闭光滑流形上的不平凡光滑对合,当不动点集是P(m,n)×HP(1)且m与n满足一定条件时(Mr,T)协边于零,其中P(m,n)是Dold流形,HP(1)是四元数射影空间。
补充资料:不动点

函数的不动点,在数学中是指被这个函数映射到其自身一个点。例如,定义在实数上的函数f,

f(x) = x^2 − 3x + 4,

则2是函数f的一个不动点,因为f(2) = 2。

也不是每一个函数都具有不动点。例如f(x) = x + 1就没有不动点。因为对于任意的实数,x永远不会等于x + 1。用画图的话来说,不动点意味着点(x,f(x))在直线y = x上,或者换句话说,函数f的图像与那根直线有共点。这个例子的情况是,这个函数的图像与那根直线是一对平行线。

不动点原理是数学上一个重要的原理,也叫压缩映像原理或banach不动点定理,完整的表达:

完备的距离空间上,到自身的一个压缩映射存在唯一的不动点。

用初等数学可以这么理解:

连续映射f的定义域包含值域,则存在一个x使得f(x)=x

说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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