共查询到19条相似文献,搜索用时 62 毫秒
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研究拓扑向量空间到连续线性映射空间映射的弱向量变分不等式和与之相关 的纯量型变分不等式解集的关系, 引入弱和强一致连续概念,利用纯量型变分不等式 解集所表征的集值映射的特性给出弱向量变分不等式解集连通的一个充分条件。 相似文献
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《数学的实践与认识》2015,(9)
利用非线性标量化的技巧定义了广义向量变分不等式问题的理性函数,利用有限理性模型对广义向量变分不等式问题引入了一种新的良定性,这种良定性统一了广义向量变分不等式问题的Levitin-Polyak良定性与Hadamard良定性,且进一步的给出了广义向量变分不等式问题的各种良定性的充分条件. 相似文献
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研究一类积集上具某种权向量的广义向量变分不等式组及其广义向量变分不等式的有关问题,刻画它们之间解的相互关系.在映射的次连续性和关于某向量广义单调性的条件下,利用集值映射的不动点定理,对所讨论的几种类型的广义向量变分不等式给出解的存在性. 相似文献
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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. 相似文献
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本文利用纯量化方法及KKM技巧,研究向量变分和向量拟变分不等式解的存在性问题,作为应用本文还研究了向量互补问题及最优化问题解的存在性及其等价性刻划。本文结果改进和推广了已有的结果。 相似文献
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本文研究了一类带有多值单调联象的拟向量变分不等式解的存在性问题,所得结论包含了纯量变分不等式的某些结果. 相似文献
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广义向量似变分不等式解集的通有稳定性 总被引:3,自引:2,他引:3
本文首先得到广义向量似变分不等式问题的解的存在性定理,然后利用USCO映射的性质(见TanKK(etal)(1995)),讨论广义向量似变分不等式的解集的通有稳定性,得到大多数(拓扑意义下)广义向量似变分不等式问题的解集是稳定的. 相似文献
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Yu Han 《Numerical Functional Analysis & Optimization》2016,37(11):1420-1437
In this article, stability results concerning the lower semicontinuity and the Hausdorff upper semicontinuity of the solution mappings to parametric generalized vector equilibrium problems with neither the monotonicity of mappings nor any information of the solution mappings are established by using scalarization methods and a new density result. 相似文献
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In this paper, two kinds of parametric generalized vector quasi-equilibrium problems are introduced and the relations between them are studied. The upper and lower semicontinuity of their solution sets to parameters are investigated. 相似文献
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In this article, we obtain some stability results for parametric weak vector equilibrium problem with set-valued mappings. By using a scalarization method, we establish sufficient conditions for the semicontinuity of the approximate solution mappings to parametric set-valued weak vector equilibrium problem under weak assumptions. These results extend and improve some known results in the literature. 相似文献
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In this paper,by a scalarization method,the lower semicontinuity of the solution mappings to two kinds of parametric generalized vector equilibrium problems involving set-valued mappings is established under new assumptions which are weaker than the C-strict monotonicity.These results extend the corresponding ones.Some examples are given to illustrate our results. 相似文献
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Semicontinuity of Solution Mappings of Parametric Generalized Vector Equilibrium Problems 总被引:1,自引:0,他引:1
In this paper, we study the ε-generalized vector equilibrium problem (ε-GVEP) and the ε-extended vector equilibrium problem (ε-EVEP), which can be regarded as approximate problems to the generalized vector equilibrium problems (GVEP). Existence results
for ε-GVEP and ε-EVEP are established. We investigate also the continuity of the solution mappings of ε-GVEP and ε-EVEP. In particular, two results concerning the lower semicontinuity of the solution mappings of ε-GVEP and ε-EVEP are presented.
This research was partially supported by Grant NSC 95-2811-M-110-010. 相似文献
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X. H. Gong 《Journal of Optimization Theory and Applications》2008,139(1):35-46
In this paper, we obtain some stability results for parametric weak vector equilibrium problems in topological vector spaces.
We provide sufficient conditions for the continuity of the solution set mapping in parametric weak monotone vector equilibrium
problems.
This research was partially supported by the National Natural Science Foundation of China (Grant 10561007) and the Natural
Science Foundation of Jiangxi Province, China. 相似文献
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In this paper, we obtain some stability results for generalized vector quasivariational inequality problems. We prove that the solution set is a closed set and establish the upper semicontinuity property of the solution set for perturbed generalized vector quasivariational inequality problems. These results extend those obtained in Ref. 1. We obtain also the lower semicontinuity property of the solution set for perturbed classical variational inequalities. Several examples are given for the illustration of our results. 相似文献
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本文借助于非空闭凸集序列的外极限集和极大单调集值映射的外极限研究了参数集值变分不等式的集值解映射的有界性和外半连续性. 相似文献
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Upper Semicontinuity of the Solution set to Parametric Vector Quasivariational Inequalities 总被引:4,自引:0,他引:4
We prove the upper semicontinuity (in term of the closedness) of the solution set with respect to parameters of vector quasivariational
inequalities involving multifunctions in topological vector spaces under the semicontinuity of the data, avoiding monotonicity
assumptions. In particular, a new quasivariational inequality problem is proposed. Applications to quasi-complementarity problems
are considered
This work was partially supported by the program “Optimisation et Mathématiques Appliquées” of C.I.U.F-C.U.D./C.U.I. of Belgium
and by the National Basic Research Program in Natural Sciences of NCSR of Vietnam 相似文献