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1.
在拓扑向量空间中通过集值映射建立拟锥,在此基础上利用拟锥引入较锥凸映射更一般的若干具控制结构的广义似凸映射和控制连续等概念,讨论它们之间的相互关系,并给出了一些性质。  相似文献   

2.
通过构造第一纲集的方法证明了每个到有限维空间上的锥连续映射都是通有连续的重要性质.  相似文献   

3.
通过研究锥连续锥凹向量函数最大化问题中有效解集连通性与象集有效点集连通性的等价性问题,证明了相应的多目标规划中锥有效解集连通性的结果。  相似文献   

4.
在锥偏序Banach空间中利用集值映射的上图导数引进了Henig有效意义下的广义梯度,在一定条件下,利用凸集分离定理证明了该广义梯度的存在性。作为应用,给出了用广义梯度刻画集值优化问题Henig有效解的充分条件。  相似文献   

5.
通过引入“集值映射具有凸图”这一性质,将包含约束凸规划与锥约束规划联系了起来;并由锥约束规划的相关性质,得到了包含约束规划取得最优解的一个一阶最优性条件.  相似文献   

6.
本文利用严格集压缩算子范数形式的锥拉伸与锥压缩不动点定理讨论了一类奇异二阶脉冲微分方程三点边值问题的正解存在性,并将相关文献中的部分条件做了推广.  相似文献   

7.
引进了一类集值映射的广义梯度,证明了在一定条件下广义梯度的存在性,给出了集值映射优化问题一些有效解的最优条件  相似文献   

8.
对于拟锥上的映射,在不假定空间是无限维的条件下,获得了不动点指数为零的算法,从而证明了一些锥映射的不动点定理在拟锥上仍然成立.  相似文献   

9.
引进了一类集值映射的广义梯度,证明了在一定条件下广义梯度的存在性,给出了集值映射优化问题一些有效解的最优条件.  相似文献   

10.
在半序Banach空间中,给出一个集值映射不动点定理.利用该定理及逐段求解的方法,讨论了二阶脉冲积分-微分包含初值问题,得到了解得存在性定理,减弱了对函数f的限制条件.  相似文献   

11.
The definitions of cone-subconvexlike st-valued maps and generalized cone-subconvexlike set-valued maps in topological vetor spaces are defined by using the relative interiors of ordering cone.The relationships between the two classes of set-valued maps are investigated.and some properties of them are shown.A Gordan type alternative theorem under the assumption of generalized cone-subconvexlikeness of set-valued maps is proved by applying convex separation theorems involoving the relative interiors in infinite dimensional spaces.Finally a necessary optimality condition theorem is shown for a general kind of set-valued vector optimization in a sense of weak E-minimizer.  相似文献   

12.
利用严格凸(凹)函数的性质和有界凸闭集上局部Lipsehitz全连续弱内向映象的一个基本结论,得到了有界凸闭集上局部Lipschitz全连续弱内向映象的若干新不动点定理。所得结论对近期的相关结果进行了推广和改进。  相似文献   

13.
文章定义了Y空间上连续的连通集值映射及其周期轨道,探索了Y空间上连续的连通集值映射与y上的连续自映射之间的关系,得到了关于Y上连续的连通集值映射的两个定理。  相似文献   

14.
运用锥与半序理论和对称迭代方法,研究了半序Banach空间中集值混合单调算子,在非紧和非连续的条件下,得到了集值混合单调算子的新的不动点定理,给出了迭代误差估计及定理在RN上的Hammerstein积分方程中应用,改进和推广了有关文献相应结果.  相似文献   

15.
利用锥理论和非对称迭代法,讨论了随机单调增算子在非连续性条件和紧性条件下的随机不动点的存在性、惟一性,同时给出了迭代序列收敛于解的误差估计。  相似文献   

16.
In this study, a continuous and airtight twinspiral dryer was developed in accordance with the characteristics and challenges in the process of disposing polysilicon slurry. Computational fluid dynamics(CFD)simulations were used to investigate the flow field in the rotating twin-spiral continuous dryer and an original discrete phase model was also elaborated to compare with the cold-modeling experimental results. The corresponding flow field was obtained using the available inlet velocity of 0.05-0.3 m/s and the rotational speed of the inner cone of 12-44 r/min, the residence time distribution, and tracked particles trajectory. Results showed that the residence time of the tracer particles in the cone cylinder was about 15.8-25.4% of the time spent out of it, and the particle's residence time was much shorter in contrast to the rotational speed and inlet velocity. The external ribbon had a larger influence on the fluid, thereby leading to a larger velocity in the region outside the cone compared to that in the region inside the cone. In addition, the appearance of the vortex and boundary layer separation at the back of the ribbon and the spoke bar had secondary diversion effects on the fluid. Furthermore, the inlet velocity had little influence on the flow field while the rotational speed of the cone greatly affected the flow field. Hence, the CFD simulations showed good agreement with the experimental results.  相似文献   

17.
用模糊数学法评价矢量图件的质量这种方法是可行的,采用这种方法把原来比较模糊笼统的质量评价换成有据可依的可量化的评价。这种方法不但可以对矢量化图件进行个体量化打分,也可以对整批矢量化图件进行整体评价,并分析出图件在美观、内容完整度、精度、分层四方面的不足,为提高图件矢量化质量以及不同目的用图件选择提供依据。  相似文献   

18.
Stability and control of floating bodies is a major aspect of navigation from ancient to modern times. It is indeed remarkable that Archimedean concepts continue to guide watercraft designers even after 2200 years! Extending Euclidean concept to solids, Archimedes solved the problem of a paraboloid floating stably but with its base inclined to the water surface. Here, we revisit Archimedes and present stability maps (A-maps) for paraboloid, solid cone and a prism. For a specific combination of geometry and specific gravity, these A-maps predict whether a solid floats vertically or in a tilted fashion; or, whether it is partially submerged.  相似文献   

19.
在I=[0,1]上构造了特殊的集合和函数序列,得到一致收敛的函数序列.这时关于此函数序列的拓扑熵映射ent:C^0(I,I)→R^+U{∞}是连续的.  相似文献   

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