| 类凸向量均衡问题弱有效解集的连通性 |
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| 引用本文： | 龚循华,陈斌,王秀玲. 类凸向量均衡问题弱有效解集的连通性[J]. 南昌大学学报(理科版), 2007, 31(6): 523-525 |
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| 作者姓名： | 龚循华 陈斌 王秀玲 |
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| 作者单位： | 南昌大学,数学系,江西,南昌,330031;南昌大学,数学系,江西,南昌,330031;南昌大学,数学系,江西,南昌,330031 |
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| 基金项目： | 国家自然科学基金 , 江西省自然科学基金 |
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| 摘 要： | 在拓扑线性空间中研究由关于第一个变量是弧类凹、关于第二个变量是类凸的映射所决定的向量均衡问题.在一定的紧性、凸性、与半连续性的条件下,给出了这类向量均衡问题弱有效解的存在性定理.利用向量均衡问题弱有效解的标量化的结果,得到了这类向量均衡问题弱有效解集的连通性结果.
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| 关 键 词： | 类凸向量均衡问题 弱有效解 存在性 连通性 |
| 文章编号： | 1006-0464（2007）06-0523-03 |
| 收稿时间： | 2007-09-04 |
| 修稿时间： | 2007-09-04 |
Connectedness of the Weak Efficient Solution Sets for the Convex -like Vector Equilibrium Problems |
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| GONG Xun-hua,CHEN Bin,WANG Xiu-ling. Connectedness of the Weak Efficient Solution Sets for the Convex -like Vector Equilibrium Problems[J]. Journal of Nanchang University(Natural Science), 2007, 31(6): 523-525 |
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| Authors: | GONG Xun-hua CHEN Bin WANG Xiu-ling |
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| Abstract: | It studied the vector equilibrium problems determined by a mapping with an arc - concave - like first var- iable, and a convex - like second variable. Under the suitable hypotheses of compactness, convexity, and semicontinuity, an existence theorem of the weak efficient solution for the convex - like vector equilibrium problems is estab- lished. By using the result of the scalarization of the weak efficient solutions set, a result of the connectedness of the weak efficient solution sets is obtained in topological vector space. |
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| Keywords: | convex - like vector equilibrium problems weak efficient solution existence connectedness |
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