共查询到18条相似文献,搜索用时 125 毫秒
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对非线性参数规划问题ε-最优解集集值映射的连续性条件进行了研究.首先在可行集集值映射局部有界且正则的条件下,讨论了非线性参数规划问题最优值函数的连续性,然后针对ε-最优解集集值映射的结构特征并利用此结果和集值分析理论,给出了非线性参数规划问题ε-最优解集集值映射连续的一个充分条件. 相似文献
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本文首先将极大极小随机规划等价的转化为一个二层随机规划,在下层初始随机规划最优解集为多点集的情形下,给出下层随机规划逼近问题最优解集集值映射关于上层决策变量参数的上半收敛性和最优值函数的连续性.然后将上层随机规划等价转化为以上层和下层决策变量作为整体决策变量,以下层规划最优解集的图作为约束条件的单层规划,并在下层初始随机规划最优解集的图为正则的条件下,得到上层随机规划逼近问题最优解集关于最小信息概率度量收敛的上半收敛性. 相似文献
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研究了特殊的二层极大极小随机规划逼近收敛问题. 首先将下层初始随机规划最优解集拓展到非单点集情形, 且可行集正则的条件下, 讨论了下层随机规划逼近问题最优解集关于上层决策变量参数的上半收敛性和最优值函数的连续性. 然后把下层随机规划的epsilon-最优解向量函数反馈到上层随机规划的目标函数中, 得到了上层随机规划逼近问题的最优解集关于最小信息概率度量收敛的上半收敛性和最优值的连续性. 相似文献
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带随机过程的随机规划问题最优解集的过程特性与稳定性 总被引:1,自引:0,他引:1
本文证明了带随机过程的随机规划问题最优解集做为集值随机过程的可测性、可测最优解选择过程的存在性。研究了最优解集过程的平稳性、马氏性以及最优值过程的鞅性和最优解集过程的集值鞅性。最后,讨论了在有限维分布意义下最优解集过程对所含随机过程参数的连续性以及最优值过程的稳定性。 相似文献
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在原始规划可行集上引入了正则的概念,并在此正则条件下,研究了更一般的概率约束规划问题的稳定性.在一定的条件下,得到了概率约束规划逼近最优解集的稳定性和最优值的连续性,从而对近似求解这类问题提供了某种理论依据. 相似文献
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本文提出强上图收敛的概念,讨论了逼近随机规划的目标函数序列的强上图收敛性,研究了逼近随机规划最优值和最优解集的收敛性条件,得到了一类随机规划逼近最优值和最优解集的收敛性. 相似文献
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本文讨论集值映射$\epsilon$-超次梯度的性质,建立$\epsilon$-超次梯度意义下的Moreau-Rockafellar定理.作为应用, 借助$\epsilon$-超次梯度分别得到集值优化取得$\epsilon$-超有效元的充分和必要条件. 相似文献
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The purpose of this paper is to generalize and improve some topological properties of solutions set to the set-valued vector equilibrium problems by using the scalar characterization method. Moreover, the Lipschitz continuity of an approximate solution mapping for the parametric set-valued vector equilibrium problems is studied. 相似文献
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In this paper, a key assumption similar to that of Li and Chen is introduced by virtue of a gap function for a class of parametric
set-valued weak vector variational inequalities in Banach spaces. By using this key assumption, sufficient and necessary conditions
of the continuity and Hausdorff continuity of the solution set mapping for such parametric set-valued weak vector variational
inequalities are given in Banach spaces when the image space is infinite dimensional. The results presented in this paper
generalize and improve some main results of Li and Chen. 相似文献
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A set is called Motzkin decomposable when it can be expressed as the Minkowski sum of a compact convex set with a closed convex cone. This paper analyzes the continuity properties of the set-valued mapping associating to each couple $\left( C,D\right) $ formed by a compact convex set C and a closed convex cone D its Minkowski sum C?+?D. The continuity properties of other related mappings are also analyzed. 相似文献
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In this paper, by using a scalarization technique, we obtain sufficient conditions for Hölder continuity of the solution mapping for a parametric weak generalized Ky Fan Inequality in the case where the solution mapping is a general set-valued one. The result is different from the recent ones in the literature. 相似文献
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In this paper, the lower semicontinuity and continuity of the solution mapping to a parametric generalized vector equilibrium
problem involving set-valued mappings are established by using a new proof method which is different from the ones used in
the literature. 相似文献
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《Optimization》2012,61(1):31-45
In this paper, we define the Mosco convergence and Kuratowski-Painleve (P.K.) convergence for set-valued mapping sequence F n . Under some conditions, we derive the following result If a set-valued mapping sequence F n , which are nonempty, compact valued, upper semicontinuous and uniformly bounded below, Mosco (or P.K.) converges to a set-valued mapping F , which is upper semicontinuous, nonempty, compact valued, then Q l >0, u >0, $\varepsilon / \lambda - {\rm ext}\, F := \{ \bar x \in X : (F(x) - \bar y + \varepsilon / \lambda \Vert x - \bar x \Vert e)$ 相似文献
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《Numerical Functional Analysis & Optimization》2012,33(3):344-360
AbstractThis article focuses on a new approach to investigate the Hölder continuity for the solution mapping of a parametric non-convex strong generalized Ky Fan inequality. Based on a non-convex separation theorem, the union relation between the solution set of the parametric non-convex strong generalized Ky Fan inequality and the solution sets of a series of Ky Fan inequalities, is established. Without density results and any information on the solution mapping, a sufficient condition for the Hölder continuity of the solution mapping to the parametric non-convex strong generalized Ky Fan inequality is given by using the key union relation. Our method does not impose any convexity, monotonicity, and the single-valuedness of the solution mapping. 相似文献