Banach空间中极大单调算子的一个邻近点算法

设E是Banach空间,T∶E→2E*是极大单调算子,T-10≠ф.令x0∈E,yn=(J λnT)-1xn en,xn 1=J-1(αnJxn (1-αn)Jyn),n0,λn>0,αn∈[0,1],文章研究了{xn}收敛性.     

Minimax Theorems Involving Two Functions and Strictly Monotone Transformations of Their Values

Two two-function minimax theorems are proved.The concavity-convexity conditions of the twofunctions involve strictly monotone transformations and mixing of the values of the two functions,and aredescribed by the inequalities as upward and weakly downward conditions.     

On Basic Constraint Qualifications for Infinite System of Convex Inequalities in Banach Spaces

The BCQ and the Abadie CQ for infinite systems of convex inequalities in Banach spaces are characterized in terms of the upper semi-continuity of the convex cones generated by the subdifferentials of active convex functions. Some relationships with other constraint qualifications such as the CPLV and the Slate condition are also studied. Applications in best approximation theory are provided.     

向量变分不等式的严格可行性问题

本篇文章首先定义了向量变分不等式的严格可行点概念,其次在假设了映射是强(D)-伪单调的情况下,证明了向量变分不等式解集非空有界与其严格可行点存在的等价性问题,推广了在数量变分不等式上得到的相应结果．     

拟单调问题的讨论

This paper gives the necessary condition and one sufficient condition of the quasi-monotonic function, and proves that the linear fractional function is quasi-monotone.     

基于偏差的不确定型多属性决策的综合集成方法

对不确定型条件下的多属性决策问题,规范化后的区间数能消除属性值之间量纲的差异,建立了相离度偏差、中间值偏差和理想方案偏差计算公式,构建了以总偏差平方和为目标函数的综合集成优化模型,求解出各属性的客观权重,提出了一种客观属性权重的可能度法,为不确定型多属性决策提供了一种简单实用的可靠方法.最后通过一个算例说明了该方法的实用性和有效性.     

Single-period Two-product Inventory Model with Reorder and Substitution

In market, excess demands for many products can be met by reorder even during one period, and retailers usually adopt substitution strategy for more benefit. Under the retailer's substitution strategy and permission of reorder, we develop the profits maximization model for the two-substitutable-product inventory problem with stochastic demands and proportional costs and revenues. We show that the objective function is concave and submodular, and therefore the optimal policy exists. We present the optimal conditions for order quantity and provide some properties of the optimal order quantities. Comparing our model with Netessine and Rudi's, we prove that reorder and adoption of the substitution strategy can raise the general profits and adjust down the general stock level.     

求解大规模带边界约束二次规划问题的单调投影梯度法

受投影BB(PBB)方法的启发, 提出并分析了求解大规模带边界约束的二次规划问题的单调投影梯度方法. 通过数值实例和数值分析证明,对于此类方法,直接采用负梯度方向计算步长往往会导致糟糕的数值计算效果, 为此提出了利用投影梯度来计算单调步长的思想.大量的数值实验表明所给出的新方法通常要好于PBB方法.     

极大单调算子的一个邻近点算法

设E是自反的Banach空间,T∶E→2E是极大单调算子.T-10≠.令x0∈E,yn=(J λnT)-1xn en,xn 1=J-1(αnJxn (1-αn)Jyn),n≥0,λn>0,αn∈[0,1],本文研究了{xn}收敛性.     

求幂级数收敛半径的方法

指出了文 [1 ]中一个考研题的错误解法 ,并给出求幂级数收敛半径的几种方法