2) Fan-Browder fixed point theorem
Fan-Browder不动点定理
1.
By using Fan-Browder fixed point theorem and FKKM theorem,some existence theorems of them are obtained,which extend and unify corresponding results of Fu-Wan in generalized vector equilibrium problems with set-valued mappings.
通过运用Fan-Browder不动点定理及FKKM定理,证明了一类广义向量平衡问题(GVEP)解的存在性,推广和改进了Fu-Wan在广义集值映射向量平衡问题中的相关研究成果,并进一步研究了一类(GVEP)解集的闭性及上半连续性。
4) Browder fixed point theorem
Browder不动点定理
1.
In this paper, a new Browder fixed point theorem is obtained in the noncompact admissible subsets of noncompact hyperconvex metric spaces.
在非紧超凸度量空间中的非紧允许集上,建立了一个新的Browder不动点定理。
2.
The Browder fixed point theorem was improved and generalized into the noncompact admissible subsets of noncompact hyperconvex metric spaces.
改进推广Browder不动点定理至非紧超凸度量空间的非紧允许集上。
3.
In the noncompact admissible subsets of noncompact hyperconvex metric spaces,Browder fixed point theorem is improved and generalized and Ky Fan minimax inequality is studied.
在非紧超凸度量空间中的非紧允许集上,改进并推广了Browder不动点定理,讨论了KyFan极大极小不等式。
5) fan kakut Ani fixed point theorem
Fan-Kakutani不动点定理
6) Fan-Glicksberg fixed point theorem
Fan-Glicksberg不动点定理
1.
As a generalization of Fan-Glicksberg fixed point theorem,a new existence theorem of fixed point theorem for set-valued mapping is proved.
推广了Fan-Glicksberg不动点定理,引入弱拟凹函数的定义,用弱拟凹函数代替拟凹函数,弱化Nash平衡点存在的条件,得出一个新的判定定理,并举例说明了它的实用性。
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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参考词条