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设E(X)和F(Y)是向量值序列空间并且E(X)具有弱滑脊性质.A=[Aij]是一个算子值无穷矩阵并且映E(X)进入F(Y).如果(X,Y)有Banach-Steinhaus性质,那么A是σ(E(X),E(X)βY)-σ(F(Y),F(Y)βY)连续的. 相似文献
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考虑目标函数是线性函数约束条件为线性矩阵不等式的LMI优化问题,讨论了LMI优化问题中的四个择一性定理.每种类型的择一性定理包含两个线性不等式和(或)等式系统,一个原始系统和一个对偶系统.弱择一性定理说明两系统中至多只有其一有解;基于凸集分离理论得到的强择一性定理说明两系统有且仅有其一有解.并在此基础上推导了LMI优化... 相似文献
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本文引入了集值映射的锥方向的高阶广义邻近导数.应用这种导数,构建了约束的集值优化问题的一种高阶Mond-Weir型对偶,并建立了相应的弱对偶,强对偶和逆对偶性,获得的结果推广了文献中的相应结论. 相似文献
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设正整数n(≥2),N={α_i|i=0,1,…,n-1)是有限域F_(2n)在F_2的正规基,且t_i=Tr(αα_i)(i=0,1,…,n-1),其中Tr(α)是α∈F_(2n)在F_2上的迹映射.本文讨论了F_(2n)在F_2上的满足如下条件的高斯正规基的存在性:t_0=t_1=t_(n-1),t_i=0(i≠0,1,n-1).给出了这种正规基的对偶基,并由此确定了F_(2n)在F_2上满足上述条件的全部最优正规基. 相似文献
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作者研究得到了由Calderon-Zygmund算子和向量符号b=(b_1,b_1,…,b_m)产生的多线性交换子T_b~m在λ-中心Morrey空间上的有界性.进一步,建立了由多线性Calderon-Zygmund算子和λ-中心BMO函数产生的多线性交换子T_b~m在λ-中心Morrey乘积空间上的有界性. 相似文献
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In this paper, we propose a primal-dual interior point method for solving general constrained nonlinear programming problems. To avoid the situation that the algorithm we use may converge to a saddle point or a local maximum, we utilize a merit function to guide the iterates toward a local minimum. Especially, we add the parameter ε to the Newton system when calculating the decrease directions. The global convergence is achieved by the decrease of a merit function. Furthermore, the numerical results confirm that the algorithm can solve this kind of problems in an efficient way. 相似文献
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In this paper,we introduce the signed weak gliding hump property in a dual pair with the sturcture of a system of sections and show that if a dual pair [E,F] has the signed weak gliding hump property,then the β-dual space of E is a weak sequentially complete space if and only if for every n ∈N,(F^[n],σ(F^[n],E^[n]))is sequentially complete,Furthermore,we also prove that if [E,F] has the signed weak gliding hump property,then (E,τ(E,F^(β))is an AK-space. 相似文献
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Zheng Fu Tao Yuan-hong Li Rong-lu 《东北数学》2009,25(1):69-78
In this note, we establish several results concerning the gliding hump properties of matrix domains. In order to discuss F-WGHP, we introduce the UAK-property and find that this sort of property has close relationship with F-WGHP. In the course of discussing F-WGHP and WGHP of (C0)cn, we discuss the F-WGHP and WGHP of the almost-null sequence space f0. 相似文献
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Letωbethespaceofallscalarvaluedsequences,and φitssubspacewithonlyfinitelymanynon zerocoordinates.AlinearsubspaceEofωiscalledasequencespace. Wesaythatanon zerovectorsequence {z(n) }inωisablocksequenceifthereexistsastrictlyincreasingsequenceofpositiveinteger… 相似文献
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In this paper we establish a dual weak convergence theorem for the Ishikawa iteration process for nonexpansive mappings in a reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm, and then apply this result to study the problem of the weak convergence of the iteration process. 相似文献
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Hereditary Upper Radical Properties and Dual Supplementing Radicals of Hereditary Radicals of Groups
One aim of this paper is to prove that for any hereditary radical property 𝒫, there exists a radical property 𝒫′ supplementing 𝒫. Certain hereditary upper radical properties of groups are constructed, and some of them are applied to formulate the necessary and sufficient condition for a hereditary radical 𝒫 and its supplementing radical 𝒫′ forming a dual pair. 相似文献
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针对一般的非线性规划问题,利用某些Lagrange型函数给出了一类Lagrangian对偶问题的一般模型,并证明它与原问题之间存在零对偶间隙.针对具体的一类增广La- grangian对偶问题以及几类由非线性卷积函数构成的Lagrangian对偶问题,详细讨论了零对偶间隙的存在性.进一步,讨论了在最优路径存在的前提下,最优路径的收敛性质. 相似文献
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In this paper, an equivalent relation among the reflexivity, weak sequential completeness and bounded completeness in full function space is given. Some results on weakly sequential compactness of subset and the property (u) in substitution spaces are obtained. 相似文献
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研究复合二项对偶模型的最优分红问题,通过分析HJB方程得到了最优分红策略和相应的最优值函数之间的关系以及最优值函数的简单计算方法.通过讨论最优红利策略的一些性质得到了最优值函数的可无限逼近的上界和下界. 相似文献
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研究了常利率下基于对偶复合泊松模型带阈值的分红策略,给出了公司在破产时累积红利期望现值函数的两个积分-微分方程,分情况讨论了收益服从指数分布时的显示表达式,以及服从一般分布时的拉普拉斯变换表达式. 相似文献