| SYSTEM OF GENERALIZED VECTOR VARIATIONAL INEQUALITIES |
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| 作者姓名： | 方亚平 黄南京 |
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| 作者单位： | Department of Mathematics, Sichuan University, Chengdu 610064, China |
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| 摘 要： | 1IntroductionA vector variational inequality(for short,VVI),as an important generalization of the clas-sical variational inequality,was first introduced and studied by Giannessi6]in finite dimensionalEuclidean spaces.Later on,a VVI was studied and genera…
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| 关 键 词： | 广义向量 不等式 假单调映射 KKM映射 定点理论 |
| 收稿时间： | 2002-11-11 |
| 修稿时间： | 2003-07-29 |
SYSTEM OF GENERALIZED VECTOR VARIATIONAL INEQUALITIES |
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| Fang Yaping,Huang Nanjing.SYSTEM OF GENERALIZED VECTOR VARIATIONAL INEQUALITIES[J].Acta Mathematica Scientia,2005,25(4):587-593. |
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| Authors: | Fang Yaping Huang Nanjing |
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| Institution: | 1. VA Connecticut Healthcare System, West Haven, Connecticut;2. University of Connecticut Health Center, Farmington, Connecticut;3. VA Connecticut Healthcare System, West Haven, Connecticut;4. Veterans Health Administration Health Services Research & Development Center for the Study of Healthcare Innovation, Implementation and Policy, VA Greater Los Angeles Healthcare System, Sepulveda, California;5. Center for Innovation to Implementation, VA Palo Alto Health Care System, Menlo Park, California;6. Office of Performance Measurement, Department of Veterans Affairs, Providence, Rhode Island;7. Department of Veterans Affairs, Pittsburgh, Pennsylvania;8. Office of Performance Measurement, Office of Analytics & Business Intelligence, Durham, North Carolina;9. Department of Health Policy & Management, UCLA Fielding School of Public Health, Los Angeles, California;10. Women''s Health Services, Patient Care Services, VA Central Office, VA Connecticut Healthcare System Yale School of Medicine, West Haven, Connecticut;1. Department of Applied Mathematics, Chengdu University of Technology, Chengdu 610059, China;2. School of Information Technology, Jiangxi University of Finance and Economics, Nanchang 330013, China;3. Department of Mathematics, Sichuan University, Chengdu 610064, China |
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| Abstract: | In this paper, the authors introduce and study system of generalized vector variational inequalities. Under suitable conditions, the existence of solutions for system of generalized vector variational inequalities is presented by Kakutani-Fan-Glicksberg fixed point theorem. |
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| Keywords: | System of generalized vector variational inequalities pseudo-monotone type mapping KKM mapping Kakutani-Fan-Glicksberg fixed point theorem |
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