广义强向量拟平衡问题解的存在性和Hadamard适定性

曾静; 彭再云; 张石生

doi:10.3879/j.issn.1000-0887.2015.06.009

广义强向量拟平衡问题解的存在性和Hadamard适定性

doi: 10.3879/j.issn.1000-0887.2015.06.009

¹重庆工商大学数学与统计学院, 重庆400067;²重庆交通大学理学院, 重庆 400074;³云南财经大学数学与统计学院, 昆明650224

基金项目: 国家自然科学基金(11401058;11301571;11301570;11401487);重庆市自然科学基金(cstc2012jjA00038);重庆市教委科学技术研究项目(KJ130732)

详细信息

作者简介:
曾静(1983—), 女, 重庆人,讲师, 博士(E-mail: yiyuexue219@163.com);彭再云(1980—), 男, 重庆人, 教授, 博士(E-mail: pengzaiyun@126.com);张石生(1934—), 男, 云南曲靖人, 教授(通讯作者.E-mail: changss@yahoo.cn).

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出版历程
- 收稿日期: 2015-02-15
- 修回日期: 2015-05-02
- 刊出日期: 2015-06-15

Existence and Hadamard Well-Posedness of Solutions to Generalized Strong Vector Quasi-Equilibrium Problems

¹College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, P.R.China;²School of Science, Chongqing Jiaotong University, Chongqing 400074, P.R.China;³School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming 650224, P.R.China

Funds: The National Natural Science Foundation of China(11401058;11301571;11301570;11401487)

摘要

摘要: 首先，在映射－f(·,y,u)自然拟C-凸和映射f上半(－C)-连续的条件下，构造一个重要辅助函数，利用不同的证明方法，在不要求C^*具有弱^*紧基的情况下，建立了广义强向量拟平衡问题解的存在性定理.然后在适当条件下，给出问题序列收敛的定义，建立解集映射的上半连续性，并讨论广义强向量拟平衡问题的Hadamard适定性，得到广义强向量拟平衡问题的Hadamard适定性成立的充分条件.
- 广义强向量拟平衡问题 /
- 解的存在性 /
- Hadamard适定性 /
- 自然拟C-凸
Abstract: Under the conditions of naturally quasi C-convexity of -f(·,y,u) and upper (-C)-continuity of f, an auxiliary function was constructed and an existence theorem for solutions to generalized strong vector quasi-equilibrium problems (for short, GSVQEPs) was established based on a method of proof other than the traditional ones, without the assumption that the dual of the ordering cone has a weak^* compact base. Moreover, a definition of problem sequence convergence was given and the upper semi-continuity of solution set mappings was obtained under some proper conditions. Based on these results, a concept of Hadamard-type well-posedness for GSVQEPs was introduced and the sufficient conditions for that Hadamard well-posedness was proposed.
- generalized strong vector quasi-equilibrium problem /
- existence theorem for solutions /
- Hadamard well-posedness /
- naturally quasi C-convex

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参考文献(15)

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广义强向量拟平衡问题解的存在性和Hadamard适定性

doi: 10.3879/j.issn.1000-0887.2015.06.009

作者简介:
曾静(1983—), 女, 重庆人,讲师, 博士(E-mail: yiyuexue219@163.com);彭再云(1980—), 男, 重庆人, 教授, 博士(E-mail: pengzaiyun@126.com);张石生(1934—), 男, 云南曲靖人, 教授(通讯作者.E-mail: changss@yahoo.cn).

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Existence and Hadamard Well-Posedness of Solutions to Generalized Strong Vector Quasi-Equilibrium Problems

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留言板

广义强向量拟平衡问题解的存在性和Hadamard适定性

doi: 10.3879/j.issn.1000-0887.2015.06.009

作者简介: 曾静(1983—), 女, 重庆人,讲师, 博士(E-mail: yiyuexue219@163.com);彭再云(1980—), 男, 重庆人, 教授, 博士(E-mail: pengzaiyun@126.com);张石生(1934—), 男, 云南曲靖人, 教授(通讯作者.E-mail: changss@yahoo.cn).

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出版历程

Existence and Hadamard Well-Posedness of Solutions to Generalized Strong Vector Quasi-Equilibrium Problems

计量

出版历程

目录

作者简介:
曾静(1983—), 女, 重庆人,讲师, 博士(E-mail: yiyuexue219@163.com);彭再云(1980—), 男, 重庆人, 教授, 博士(E-mail: pengzaiyun@126.com);张石生(1934—), 男, 云南曲靖人, 教授(通讯作者.E-mail: changss@yahoo.cn).