| 广义向量拟平衡问题系统解的强本质稳定性及广义多目标对策平衡点集的存在性 |
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| 引用本文： | 宋奇庆.广义向量拟平衡问题系统解的强本质稳定性及广义多目标对策平衡点集的存在性[J].广西科学,2011,18(1):26-29. |
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| 作者姓名： | 宋奇庆 |
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| 作者单位： | 桂林理工大学理学院,广西桂林,541004 |
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| 基金项目： | 广西教育厅科研基金项目 |
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| 摘 要： | 利用不动点稳定性方法证明广义向量拟平衡问题系统(GSVQEP)解的存在性及解集的强本质连通区的存在性,并将该结果应用于广义多目标对策的研究,证明广义多目标对策强本质平衡点集的存在性和强本质 weakPareto-Nash平衡点集的存在性.
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| 关 键 词： | 广义向量拟平衡问题 强本质集 weak Pareto-Nash平衡点 |
| 收稿时间： | 2010/4/21 0:00:00 |
Strong Essential Stability of the System of Generalized Vector Quasi-Equilibrium Problems and Existence of Equilibrium Points in Generalized Multiple Objective Games |
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| Song Qi-qing.Strong Essential Stability of the System of Generalized Vector Quasi-Equilibrium Problems and Existence of Equilibrium Points in Generalized Multiple Objective Games[J].Guangxi Sciences,2011,18(1):26-29. |
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| Authors: | Song Qi-qing |
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| Institution: | Song Qi-qing(College of Science,Guilin University of Technology,Guilin,Guangxi,541004,China) |
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| Abstract: | We consider the system of generalized vectorquasi-equilibrium and prove the existence of its solution.Consequently,we get the existence of strongly essential sets for its solution sets.As an application,we derive the existence of strongly essential equilibrium points of generalized multiple objective games and strongly essential weak Pareto-Nash equilibrium. |
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| Keywords: | system of generalized vector quasi-equilibrium strong essential sets weak Pareto-Nash equilibrium |
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