| 具强制条件的向量均衡问题 |
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| 引用本文： | 黄龙光.具强制条件的向量均衡问题[J].数学学报,2006,49(6):1425-143. |
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| 作者姓名： | 黄龙光 |
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| 作者单位： | 集美大学理学院数学系,厦门361021 |
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| 基金项目： | 福建省自然科学基金资助项目;集美大学博士基金资助项目 |
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| 摘 要： | 研究锥伪单调、锥拟凸和上锥连续映射在某种强制性条件下的向量均衡问题解集的特征,建立强制性条件与向量均衡问题解集的关系,得到对偶向量均衡问题局部解集含于向量均衡问题解集的性质和向量均衡问题解集的非空性条件,给出在锥伪单调、锥拟凸和上锥连续映射条件下向量均衡问题解集的非空有界性与强制性条件的等价性．
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| 关 键 词： | 向量均衡问题 锥拟凸 锥伪单调 |
| 文章编号： | 0583-1431（2006）06-1425-08 |
| 收稿时间： | 2005-06-20 |
| 修稿时间： | 2005-06-202006-03-30 |
Vector Equilibrium Problems with Coercivity Conditions |
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| Long Guang HUANG.Vector Equilibrium Problems with Coercivity Conditions[J].Acta Mathematica Sinica,2006,49(6):1425-143. |
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| Authors: | Long Guang HUANG |
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| Institution: | Department of Mathematics, School of Science, Jimei University, Xiaman 361021, P. R. China |
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| Abstract: | The vector equilibrium problems with coercivity conditions for cone-pseudo- monotone, cone-quasiconvex and upper cone-continuous mappings are dealt with. The interrelations between coercivity conditions and solution sets of vector equilibrium problems are presented. The nonemptiness conditions on solution sets of vector equilibrium problems, and property that local solution set of dual vector equilibrium problem is contained in that of vector equilibrium problem are derived. An equivalence is stated between the nonemptiness and boundedness of solution set and those coercivity conditions in the cone-pseudomonotone, cone-quasiconvex and upper cone-continuous setting. |
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| Keywords: | vector equilibrium problems C-pseudomonotone C-quasiconvex |
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