| 具有控制结构的向量均衡问题与解集的性质 |
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| 引用本文： | 傅俊义,王三华.具有控制结构的向量均衡问题与解集的性质[J].应用泛函分析学报,2012,14(1):1-7. |
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| 作者姓名： | 傅俊义 王三华 |
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| 作者单位： | 南昌大学数学系,南昌,330031 |
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| 基金项目： | Supported by National Natural Science Foundation of China(11061023);Youth Foundation of Jiangxi Educational Committee(GJJ10086);Natural Science Foundation of Jiangxi Province(2010GZS0145) |
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| 摘 要： | 提出一种具有控制结构的向量均衡问题与向量映射的新的伪单调性概念，得到具有控制结构的向量均衡问题解的存在性及其解集的紧凸性．作为应用，得到具有控制结构的向量变分不等式与互补问题的解．
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| 关 键 词： | 向量均衡问题 控制结构 伪单调 解集 |
Vector Equilibrium Problem with Domination Structure and Property of Its Solution Set |
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| FU Junyi
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WANG Sanhua.Vector Equilibrium Problem with Domination Structure and Property of Its Solution Set[J].Acta Analysis Functionalis Applicata,2012,14(1):1-7. |
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| Authors: | FU Junyi WANG Sanhua |
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| Institution: | Department of Mathematics,Nanchang University,Nanchang 330031,China |
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| Abstract: | In this paper,a kind of vector equilibrium problem with domination structure and a new pseudomonotonicity for vector mappings are presented.Existence of solutions for vector equilibrium problem with domination structure and the compactness and convexity of solution set are established. As applications,existence of solutions for vector variational inequalities and vector complementarity problems with domination structure are derived. |
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| Keywords: | vector equilibrium problem domination structure pseudomonotonicity solution set |
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