共查询到10条相似文献,搜索用时 62 毫秒
1.
Lai-Jiu Lin Chih-Sheng ChuangZenn-Tsun Yu 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(16):5591-5599
In this paper, we first prove a generalized KKM theorem, and then use this generalized KKM theorem to establish the generalized equi-KKM theorem, common fixed point theorems for a family of multivalued maps, and the Kakutani-Fan-Glicksberg fixed point theorem. We also show that an existence theorem of the common fixed point theorem is equivalent to the Kakutani-Fan-Glicksberg fixed point theorem. 相似文献
2.
一类新的KKM定理及其应用* 总被引:1,自引:0,他引:1
本文得到一类新的KKM定理,统一和改进了[2,3,0,7,11]中的结果。作为应用,我们得到了几个匹配定理、重合定理、不动点定理、极大极小不等式定理及截口定理。 相似文献
3.
李国祯 《应用泛函分析学报》2004,6(4):351-357
得到Banach空间中随机隐函数存在定理、随机反函数定理和随机Hahn-Banach定理,它们是著名隐函数定理、反函数定理和Hahn-Banach控制延拓定理的随机化推广,这些定理在随机算子理论中将起重要作用。 相似文献
4.
一个新的Ky Fan匹配定理及其在L-凸度量空间中的应用 总被引:5,自引:0,他引:5
文开庭 《应用泛函分析学报》2008,10(4):305-312
建立了转移开覆盖的一个新的Ky Fan型匹配定理.作为应用,获得了Fan-Browder重合定理,不动点定理、极大元定理,相交定理和截口定理. 相似文献
5.
在现有的播挪定义基础上,引入了对偶播挪的概念和任意论域子集族的内并、内交两种新运算,提出了十个定理.它们是:平凡播挪空间定理,最小播挪定理,播挪内运算封闭性定理,播挪任意交定理,播挪上确界定理,播挪运算分配性定理,播挪基判定定理,播挪基闭包定理,播挪基约简定理,播挪基内运算封闭性定理.这些定理对于播挪空间的研究具有一定的理论价值. 相似文献
6.
Alexej P. Pynko 《Archive for Mathematical Logic》2006,45(3):267-305
In this paper we deal with infinitary universal Horn logic both with and without equality. First, we obtain a relative Lyndon-style
interpolation theorem. Using this result, we prove a non-standard preservation theorem which contains, as a particular case,
a Lyndon-style theorem on surjective homomorphisms in its Makkai-style formulation. Another consequence of the preservation
theorem is a theorem on bimorphisms, which, in particular, provides a tool for immediate obtaining characterizations of infinitary universal Horn classes without
equality from those with equality. From the theorem on surjective homomorphisms we also derive a non-standard Beth-style preservation
theorem that yields a non-standard Beth-style definability theorem, according to which implicit definability of a relation
symbol in an infinitary universal Horn theory implies its explicit definability by a conjunction of atomic formulas. We also
apply our theorem on surjective homomorphisms, theorem on bimorphisms and definability theorem to algebraic logic for general
propositional logic. 相似文献
7.
杨世国 《数学的实践与认识》2006,36(9):383-385
近期将欧氏平面E2上的正弦定理和余弦定理推广到三维欧氏空间E3中,建立了E3中四面体空间角正弦定理、二面角正弦定理和四面体余弦定理,利用向量给出了三维余弦定理和三维正弦定理的简单证明. 相似文献
8.
Jorge Mujica 《Journal of Mathematical Analysis and Applications》2004,297(2):477-489
In this paper we establish a theorem that extends and sharpens an old precompactness lemma due to Kakutani. We use this theorem to derive the classical Arzelà-Ascoli theorem and a theorem of Defant and Floret for families of linear operators. We also use this theorem to derive a theorem for composition operators which yields as immediate corollaries a theorem of Geue and a locally convex version of a theorem of Aron and Schottenloher. 相似文献
9.
连续型概率度量的特征及其应用 总被引:1,自引:1,他引:0
讨论了连续型概率度量空间,给出了连续型概率度量的特征定理.利用这个特征定理,我们获得了连续型概率度量空间的闭球套定理和M enger空间完备性特征定理.作为本文的应用获得了一个局部概率压缩映象不动点定理. 相似文献
10.
In this article, by virtue of the Fan-Browder fixed point theorem, we first obtain a minimax theorem and establish an equivalent relationship between the minimax theorem and a cone saddle point theorem for scalar set-valued mappings. Then, by using scalarization functions, we investigate an existence theorem of the cone saddle point for set-valued mappings. Simultaneously, we also establish a minimax theorem for set-valued mappings. 相似文献