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1.
Banach空间中的广义Schauder基和广义A-proper映射的广义拓扑度 总被引:2,自引:0,他引:2
本文给出Banach空间中广义Schauder基的新概念及其几个性质定理,举出了具有广义Schauder基的不可分Banach空间实例.作为广义Schauder基的应用,还推广了A-proper映射的广义拓扑度和一些著名的不动点定理. 相似文献
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《应用泛函分析学报》2016,(4)
借助于Hilbert空间上的正算子,给出算子值赋范线性空间的概念,进而讨论了一类特殊的算子值Banach空间上Schauder基的性质,并给出Schauder基和弱Schauder基的等价刻画. 相似文献
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姚喜妍 《应用泛函分析学报》2008,10(2):155-161
引入并研究了Banach空间X中的Bessel集、广义框架与广义Riesz基.对X中的任一Bessel集{gm}m∈M,定义有界线性算子T:L^2(P)→X^*,利用算子丁,给出了Bessel集与广义框架的等价刻画.同时讨论了广义框架和广义Riesz基的摄动. 相似文献
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本文将Banach空间中广义正交分解定理从线性子空间拓广至非线性集太阳集,分别给出了一算子为度量投影算子和一度量投影算子为有界线性算子的充要条件;得到了判别Banach空间中子空间广义正交可补的充要条件;建立了王玉文和季大琴(2000年)新近引入的Banach空间中的线性算子的Tseng度量广义逆存在的特征刻划条件;这些工作本质地把王玉文等人的新近结果从自反空间拓广至非自反空间的情形. 相似文献
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本文将Banach空间中广义正交分解定理从线性子空间拓广至非线性集—太阳集,分别给出了一算子为度量投影算子和一度量投影算子为有界线性算子的充要条件;得到了判别Banach空间中子空间广义正交可补的充要条件;建立了王玉文和季大琴(2000年)新近引入的Banach空间中的线性算子的Tseng度量广义逆存在的特征刻划条件;这些工作本质地把王玉文等人的新近结果从自反空间拓广至非自反空间的情形. 相似文献
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Banach空间的某类分解 总被引:1,自引:1,他引:0
石峰 《数学物理学报(A辑)》1998,18(3):318-323
该文从Schauder分解出发,考虑了由一类具有特殊基的Banach空间Y所生成的Banach空间Y(Xi,i∈N)(特别是当每个Xi均为Y的标量域)的一些性质,以及它们之间的联系. 相似文献
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本研究Banach空间L^p(Ω)中一类半线性椭圆型方程的不适定边值问题。运用度量广义逆与Schauder不动点定理证得该问题的最小极值解的存在性,应用Banach空间几何与Sobolev空间的方法,给出小极值解的等价条件。本结果,可应用于奇异最优控制问题。 相似文献
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Banach空间值白噪声广义泛函是一类重要的向量值白噪声广义泛函. 该文建立了Banach空间值白噪声广义泛函的一个解析刻画定理, 并给出了此结果的若干应用. 相似文献
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拓扑空间上的KKM定理,不动点定理,广义变分不等式 总被引:1,自引:0,他引:1
引进没有任何凸结构的拓扑空间上的广义R-KKM映射的定义并利用古典的KKM原理得到一般拓扑空间上的KKM型定理以及若干个变形结果,然后作为应用给出了非紧的拓扑空间上不动点定理和广义变分不等式解的存在性定理. 相似文献
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The purpose of this paper is to introduce a split generalized mixed equilibrium problem (SGMEP) and consider some iterative sequences to find a solution of the generalized mixed equilibrium problem such that its image under a given bounded linear operator is a solution of another generalized mixed equilibrium problem. We obtain some weak and strong convergence theorems. 相似文献
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某些广义迭代法的Stein-Rosenberg型定理与比较定理王新民(中国金融学院)STEIW-ROSENBERGTYPETHEORSMSANDCOMMMSONTHEOREMSFORSOMEGENERALIZEDITERAIVEMETHODS¥Wan... 相似文献
14.
丁协平 《数学物理学报(B辑英文版)》1998,(1)
1IntroductionOneofthemainresultsofequilibriullltheoryforgelleralizedgalllesistileexistellceofmaximalelementsconcerninganirreflexivepreferencecorrespondellcewitllcollvexvalues,openlowersections,definedonacompactconvexsubsetKofRnalldwithvaluesillZap,seen.Chapter7].Duetotheimportallceofapplications,tileresultwasgelleralizedby1flailyauthors,forexample,see[2,5--7,10,13,15-181.Tilelllostoftheseexistellcetheorellisforlllaxilllalelementsandequilibriulllpointsdealwithpreferencecorrespondenceswhichhav… 相似文献
15.
丁协平 《数学物理学报(B辑英文版)》2015,(2):339-347
In this article,we introduce and study some new classes of multi-leader-follower generalized constrained multiobjective games in locally FC-uniform spaces where the number of leaders and followers may be finite or infinite and the objective functions of the followers obtain their values in infinite-dimensional spaces.Each leader has a constrained correspondence.By using a collective fixed point theorem in locally FC-uniform spaces due to author,some existence theorems of equilibrium points for the multi-leader-follower generalized constrained multiobjective games are established under nonconvex settings.These results generalize some corresponding results in recent literature. 相似文献
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In this paper, we introduce a split generalized equilibrium problem and consider some iterative sequences to find a solution of the equilibrium problem such that its image under a given bounded linear operator is a solution of another equilibrium problem. We obtain some strong and weak convergence theorems. 相似文献
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邵先喜 《Annals of Differential Equations》2004,20(4):402-406
This paper gives a theorem for the local center of generalized Lienard system; the relative theorems in the references can be deduced from our corollaries. 相似文献
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Zhang Jianzhong 《数学年刊B辑(英文版)》1992,13(2):119-128
It is found that generalized geometric programming(GGP) is in fact a special case of generalized convex programming.By selecting a suitable bifunction and calculating its adjoint function,the dual form of the standard GGP problem is derived.Some duality theorems are also obtained with this point of view.The method used is simpler and more general than what appeared in the literature. 相似文献
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Shao Xianxi 《Annals of Differential Equations》2006,22(4):551-559
This paper discusses the local and global center of the generalized Lienard system, gives two theorems which extend and improve the relative results of [1]-[3]. Moreover the lemmas in this paper are also useful to the study for the oscillation, stability and the existence of limit cycles of the generalized Lienard system. 相似文献