参数广义弱向量拟平衡问题解映射的H-连续性刻画

邵重阳; 彭再云; 王泾晶; 周大琼

doi:10.21656/1000-0887.390198

参数广义弱向量拟平衡问题解映射的H-连续性刻画

doi: 10.21656/1000-0887.390198

重庆交通大学数学与统计学院, 重庆 400074

基金项目: 国家自然科学基金(11431004;11471059)；重庆市自然科学基金(cstc2017jcyjAX0382;cstc2018jcyjAX0337)；重庆市创新团队(CXTDX201601022)；重庆市巴渝学者计划

详细信息

作者简介:
邵重阳(1993—),男,硕士(E-mail: shaocyll@sina.com);彭再云(1980—),男,教授,博士(通讯作者. E-mail: pengzaiyun@126.com).

中图分类号: O224
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- 文章访问数: 1318
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- 被引次数: 0
出版历程
- 收稿日期: 2018-07-17
- 修回日期: 2018-08-31
- 刊出日期: 2019-04-01

Characterizations of HContinuity for Solution Mapping to Parametric Generalized Weak Vector QuasiEquilibrium Problems

College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing 400074, P.R.China

Funds: The National Natural Science Foundation of China(11431004;11471059)

摘要

摘要: 研究了Hausdorff拓扑向量空间中的一类参数广义弱向量拟平衡问题(PGWVQEP)的稳定性.首先，给出了此问题的参数间隙函数，研究了参数间隙函数的连续性.然后, 提出了一个与参数间隙函数相关的关键假设，讨论了它的连续性，并给出关键假设的等价刻画.最后，借助于假设，获得了PGWVQEP解映射Hausdorff半连续的充分必要条件.并举例验证了所得结果.
- 参数广义弱向量拟平衡问题 /
- 解映射 /
- 参数间隙函数 /
- Hausdorff下半连续 /
- Hausdorff连续
Abstract: The stability of a class of parametric generalized weak vector quasi-equilibrium problems (PGWVQEP) in Hausdorff topological vector spaces, were studied. First, a parametric gap function for the problem was given, and the continuity property of the function was studied. Next, a key hypothesis related to the gap function for the considered problem was presented, the characterizations of this hypothesis were discussed, and an equivalence theorem for the key hypothesis was given. Finally, by means of the hypothesis, the sufficient and necessary conditions for the Hausdorff semicontinuity of the solution mapping to PGWVQEP were obtained. Examples were given to verify the obtained results.
- parametric generalized weak vector quasi-equilibrium problem /
- solution mapping /
- parametric gap function /
- Hausdorff lower semicontinuity /
- Hausdorff continuity

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参考文献(23)

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文章访问数: 1318
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参数广义弱向量拟平衡问题解映射的H-连续性刻画

doi: 10.21656/1000-0887.390198

作者简介:
邵重阳(1993—),男,硕士(E-mail: shaocyll@sina.com);彭再云(1980—),男,教授,博士(通讯作者. E-mail: pengzaiyun@126.com).

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Characterizations of HContinuity for Solution Mapping to Parametric Generalized Weak Vector QuasiEquilibrium Problems

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留言板

参数广义弱向量拟平衡问题解映射的H-连续性刻画

doi: 10.21656/1000-0887.390198

作者简介: 邵重阳(1993—),男,硕士(E-mail: shaocyll@sina.com);彭再云(1980—),男,教授,博士(通讯作者. E-mail: pengzaiyun@126.com).

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出版历程

Characterizations of HContinuity for Solution Mapping to Parametric Generalized Weak Vector QuasiEquilibrium Problems

计量

出版历程

目录

作者简介:
邵重阳(1993—),男,硕士(E-mail: shaocyll@sina.com);彭再云(1980—),男,教授,博士(通讯作者. E-mail: pengzaiyun@126.com).