正则不动点,regular fixed point

1)regular fixed point
正则不动点

2)positive fixed point
正不动点
1.
Existence of positive fixed point for -α concave operator and applications;
-α凹算子(α>0)正不动点的存在性及应用


2.
Using topological degree for upper semicontinuous set-valued 1-set-contractive mapping and the fixed point theorems for upper semicontinuous set-valued 1-set-contractive mapping,the boundary conditions of existing positive fixed points is studied for upper semicontinuous set-valued 1-set-contractive mapping.
利用上半连续集值1-集压缩映射的拓扑度以及上半连续集值1-集压缩映射的不动点定理,研究它在锥中的情形,即研究上半连续集值1-集压缩映射正不动点存在的边界条件。


3.
In this paper,we consider the existence of multiple positive fixed points for some nonlinear operators,in particular,the sum ofαconcove operators andβconvex operators.
研究存在两个正不动点的一类算子,以α(0＜α＜1)凹算子与β(β＞1)凸算子之和为特殊情形,最后把结果用于超线性二阶奇异微分方程边值问题。


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3)regular points
正则点
1.
It is well known that the set of all of regular points of f is an open set in E .
非线性泛函分析中一个著名的结果是 f的正则点全体是 E中的一个开子集。


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4)regular singular point
正则奇点
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5)non-regular point
非正则点
1.
Because of the non-completion of the concepts of regularity in some textbooks on mathematical analySis and differentical geometry,this paper investigate the geometrical characteristics and decisive methods of all types of non -regular points on curves according to the concepts of regular curves.
研究曲线上各类非正则点的几何特征及判别方法。



6)strongly regular point
强正则点


补充资料：Borel不动点定理


Borel不动点定理
Borel fixed - point theorem

　　B吮l不动点定理{B.限l五xe小州nt价e僻m二匆卿，T侧邓吧，f.01”聊叉B“狱班滋n卜.王j 设F为代数闭域kl二非空完全代数簇，正则地作用于犷上的连通可解代数群G(见变换的代数群扭1罗-braic goup of transformat一ons))在卜中有不动点.由这个定理可以推出代数群的B.耽l子群(Borel sub-grouP)是共扼的(Bore卜MOI洲)叉)B定理(Borel一Moro-zov theorem))，不动点定理是A.Borel([lj)证明的.Borel定理可以推广到任意域k(不一定代数封闭卜设F为在域k上定义的完全簇若连通可解k分裂群(人一sPlit grouP)G正则地作用在F上，则有理人点集V(k)或者为空集，或者它包含G的一个不动点.因此推广的Bore]子群共扼性定理是:若域k是完满的，则一个连通人定义的代数群H的极大连通可解北可裂子群，在H的k点构成的群中元素作用下互相共辘(f21)，
　　
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正则不动点,regular fixed point