带多面体控制锥的锥约束凸向量优化问题的有效解集的非空有界性的刻画

本文刻画了控制锥为多面凸锥的锥约束凸向量优化问题有效解集的非空有界性．然后将其中的一个重要条件应用于一类罚函数方法收敛性的研究．     

具强制条件的向量均衡问题

研究锥伪单调、锥拟凸和上锥连续映射在某种强制性条件下的向量均衡问题解集的特征,建立强制性条件与向量均衡问题解集的关系,得到对偶向量均衡问题局部解集含于向量均衡问题解集的性质和向量均衡问题解集的非空性条件,给出在锥伪单调、锥拟凸和上锥连续映射条件下向量均衡问题解集的非空有界性与强制性条件的等价性．     

自反Banach空间中向量优化问题弱有效解集特性的进一步研究

本文分别研究了在无限维自反Banach空间中,当控制结构为多面体锥时,-般凸向量优化问题和锥约束凸向量优化问题的弱有效解集的非空有界性,并且把结论应用到了一类罚函数方法的收敛性分析上.     

关于对偶问题及对偶性质

本文考虑非可微凸规划的一个对偶问题，它使用目标函数的扰动函数的次微分及外法向量锥，它不同于已知结果．我们给出相应的对偶性质．     

γ-锥和严格γ-锥

引入有限维向量空间的γ－锥和严格γ－锥的概念．证明了γ－锥是一类闭锥,严格γ－锥是一类开锥．并且,研究了γ－锥和严格γ－锥与较多锥、严格较多锥及它们的闭包和内部之间的关系．     

带多面体控制锥的锥约束凸向量优化问题的有效解集的非空有界性的刻画(英文)

本文刻画了控制锥为多面凸锥的锥约束凸向量优化问题有效解集的非空有界性.然后将其中的一个重要条件应用于一类罚函数方法收敛性的研究.     

拓扑向量空间中非光滑向量极值问题的最优性条件与对偶

本文提出了向量值函数的锥D-s凸，锥D-s拟凸，s右导数及锥D-s伪凸等新概念，探讨了锥D-s凸函数的有关性质，建立了带约束非光滑向量极值问题(VP)的最优性必要条件与涉及锥D-s凸(拟凸，伪凸)函数的约束极值问题(VP)的最优性充分条件，给出了原问题(VP)与其Mond-Weir型对偶问题的弱对偶与强对偶结论，揭示了(VP)的局部锥D-(弱)有效解与整体锥D-(弱)有效解，(VP)的锥D-弱有效解与锥D-有效解的关系，所得结果拓广了凸规划及部分广义凸规划的有关结论．     

锥连续锥拟凹多目标规划问题弱有效解集的连通性

本文讨论了锥连续锥拟凹向量函数的弱有效解集的连通性问题；证明了当可行集X为紧凸集，目标函数f在X上锥连续锥拟凹时，其弱有效解集是连通的，在一定的意义下，改进了文献[1] 中的结果。     

锥连续锥拟凹向量函数最大化问题有效解集的连通性

本文讨论了锥连续函数及锥最大下果的性质，在此基础上讨论了锥连续锥拟凹向量函数最大化问题有效解集的连通性，证明了当象集为锥凸集时锥有效解集是连通的。     

一类锥约束凸向量优化问题弱有效解集非空紧性的刻画和应用

本文研究当目标空间的控制结构为多面体锥时,锥约束凸向量优化问题的弱有效解集的非空紧性的刻画,然后将所获结果用于研究一类罚函数方法的收敛性.     

Sufficient conditions for uniform normal structure of Banach spaces and their duals

In this paper, we present some sufficient conditions for the uniform normal structure of Banach spaces and their dual spaces. More precisely, many known conditions implying the uniform normal structure of Banach spaces are shown to imply uniform normal structure of their dual spaces as well.     

弹性圆板在一侧受均载而四周固定的条件下不用Kirchhoff-Love假设的一级近似理论(Ⅱ)

本文在前文[1]所得的微分方程和有关边界条件的基础上，求得了这些方程在有关边界条件下的解析解．当然，为了节省计算工作量，我们进一步简化了一级近似理论，使它在保持合理的基础上，更加简单化了．     

An algebraic approach to the problem of specification description by means of one-point subsystems

In the paper [5] necessary and sufficient conditions (consistency conditions) under which the system of one-point probability distributions indexed by infinite boundary conditions is a subsystem of some specification were found. In this note we give an algebraic interpretation of the above consistency conditions, as well as present their physical interpretation introduced by Dachian and Nahapetian.     

On Linear Programming Duality and Necessary and Sufficient Conditions in Minimax Theory

In this paper we discuss necessary and sufficient conditions for different minimax results to hold using only linear programming duality and the finite intersection property for compact sets. It turns out that these necessary and sufficient conditions have a clear interpretation within zero-sum game theory. We apply these results to derive necessary and sufficient conditions for strong duality for a general class of optimization problems. The authors like to thank the comments of the anonymous referees for their remarks, which greatly improved the presentation of this paper.     

Chain conditions for C*-algebras coming from Hilbert C*-modules

In this paper we define and study chain conditions for Hilbert C*-modules through their C*-algebras of compact operators and discuss their perseverance under Morita equivalence and tensor products. We show that these chain conditions are passed from the C*-algebra to its Hilbert module under certain conditions. We also study chain conditions for Hilbert modules coming from inclusion of C*-algebra with a faithful conditional expectation.     

强广义上(下)半连续多值映射

利用强广义开集引入强广义上(下)半连续多值映射等概念,讨论了其等价条件,并研究了它们的各种性质。     

The inverse eigenvalue problem of generalized reflexive matrices and its approximation

This paper studies inverse eigenvalue problems of generalized reflexive matrices and their optimal approximations. Necessary and sufficient conditions for the solvability of the problems are derived, the solutions and their optimal approximations are provided.     

贝叶斯库存管理方式下供应链中的信息汇聚效应

考虑由一个供应商和两个零售商组成的二级供应链,假设产品需求分布未知,零售商将观察到的需求信息共享给供应商,各企业按贝叶斯方法管理生产和库存。本文将表明在一定条件下,信息的汇聚可能会扭曲供应商对市场需求的认识,造成供应商严重产品积压或严重缺货,我们把这种现象称为信息汇聚效应。本文将给出需求信息可完全观察时,多周期供应链中发生信息汇聚效应的充分条件,并推出发生信息汇聚效应的概率的下界。     

Homological properties of sklyanin algebras

In their recent paper [13], Tate and Van den Bergh studied certain quadratic algebras, called the “Sklyanin algebras”. They proved that these algebras have the Hilbert series of a polynomial algebra, are Noetherian and Koszul, and satisfy the Auslander-Gorenstein and Cohen-Macaulay conditions. This paper gives an alternative proof of these results, as suggested in [13], and thereby answering a question in their paper.     

集值测度的弱Radon—Nikodym导数及弱集值随机变量条件期望的存在性

讨论了集值工存在弱Radon-Nikodym导数的充要条件,对弱紧凸集值随机变量给出了其条件期望存在时的一个特征。