| 一类含参广义向量拟均衡问题各种有效解映射的下半连续性 |
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| 引用本文： | 孟旭东,王三华.一类含参广义向量拟均衡问题各种有效解映射的下半连续性[J].井冈山大学学报（自然科学版）,2017(1):1-7. |
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| 作者姓名： | 孟旭东 王三华 |
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| 作者单位： | 南昌航空大学科技学院思政与基础教学部, 江西, 南昌 330034,南昌大学数学系, 江西, 南昌 330031 |
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| 基金项目： | 国家自然科学基金项目（11201216） |
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| 摘 要： | 在赋范向量空间中,引进一类含参广义向量拟均衡问题,给出各种有效解的概念。在锥-次类凸的条件下,得到各种有效解的标量化结果。在适当假设条件下,得到含参广义向量拟均衡问题各种有效解映射的下半连续性。
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| 关 键 词： | 有效解 解映射 下半连续性 含参广义向量拟均衡问题 |
| 收稿时间： | 2016/9/19 0:00:00 |
| 修稿时间： | 2016/10/12 0:00:00 |
RESEARCH ON THE LOWER SEMICONTIONUITY OF VARIOUS EFFICIENT SOLUTION MAPPINGS TO A CLASS OF PARAMETRIC GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS |
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| MENG Xu-dong and WANG San-hua.RESEARCH ON THE LOWER SEMICONTIONUITY OF VARIOUS EFFICIENT SOLUTION MAPPINGS TO A CLASS OF PARAMETRIC GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS[J].Journal of Jinggangshan University(Natural Sciences Edition),2017(1):1-7. |
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| Authors: | MENG Xu-dong and WANG San-hua |
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| Institution: | Department of Basic Courses, Science College of Nanchang Hang Kong University, Nanchang, Jiangxi 330034, China and Department of Mathematics, Nanchang University, Nanchang, Jiangxi 330031, China |
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| Abstract: | The concepts of various efficient solutions to a class of parametric generalized vector quasi-equilibrium problems in normed vector spaces are introduced. Under the condition of cone-subconvexlike, scalar characterizations of various efficient solutions are given. Combining with some suitable assumptions, the lower semicontionuity of various efficient solution mappings to the parametric generalized vector quasi-equilibrium problems are gained. |
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| Keywords: | efficient solution solution mapping lower semicontionuity parametric generalized vector quasi-equilibrium problems |
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