1) strongly path transfer lower semicontinuous
强道路转移下半连续
1.
By the strongly path transfer lower semicontinuous,the generalized Ky-Fan Inequality in L-convex spaces is obtained,then Fan-Browder fixed point theorem,section theorem,maximal elements theorem and saddle-point theorem is derived.
通过引入强道路转移下半连续的概念,得到了L-凸空间中的广义Ky-Fan不等式,从而得到了L-凸空间中的广义Fan-Browder不动点定理、截口定理和鞍点定理。
2.
By the strongly path transfer lower semicontinuous,the generalized Ky-Fan inequality in hyperconvex spaces is obtained,and then a generalized Fan-Browder fixed point theorem,section theorem and maximal elements theorem is derived.
通过引入强道路转移下半连续的概念,得到了超凸空间中的广义Ky-Fan不等式,从而得到超凸空间的广义Fan-Browder不动点定理、截口定理和最大元定理。
2) Transfer compactly lower semicontinuous
转移紧下半连续
3) r-transfer lower semicontinuous
r-转移下半连续
4) Trans super(low) semi-continuous
转移上(下)半连续
5) transfer lower semicontinuous function
转移下半连续
6) transfer compact upper(lower)semicontinuous
转移紧上(下)半连续
补充资料:强连续半群
强连续半群
strongly-continuous son!-group
强连续半群[s枷叼y一c佣“nu0lls,”‘.9代阅.;c翻‘即“enpep曰.Ha,no月yrPynna] Banach空间X上具有以下性质的一族有界线性算子T(t),r>0: l)T(t+;)x=T(r)T(:)x,r,了>0,x6X; 2)函数tl~T(t)x对任何x〔X在(O,的)上连续. 当1)成立时,所有函数tl一T(t)x(x‘X)的可测性,且特别地它们的单边(右或左)弱连续性,蕴涵T(t)的强连续性.对一个强连续半群,有限数 田一r叹r一’]n 11T(‘)1卜,纯‘一’In llT(r)11称为该半群的型(勿详of the semi一gouP).这样,函数t卜,T(t)x的范数在的的增长不快于指数e‘『.强连续半群的分类是基于当t,O时它们的性态.如果有一个有界算子J使得当t一,O时}T(t)一川},O,则J是一个投影算子且T(t)=Je‘月,其中A是与J交换的一个有界线性算子.在这情形T(t)关于算子范数是连续的.如果J=I,则T(t)=c‘滩,一的
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