Riemann流形上ρ-(η,d)-B不变凸的向量变分不等式及向量优化问题

刘爽; 莫定勇; 周志昂

doi:10.21656/1000-0887.400227

Riemann流形上ρ-(η,d)-B不变凸的向量变分不等式及向量优化问题

doi: 10.21656/1000-0887.400227

¹重庆理工大学理学院, 重庆 400054;²重庆市渝中区教师进修学院, 重庆 400015

基金项目: 国家自然科学基金(11861002);重庆市基础与前沿研究计划项目(cstc2017jcyjBX0055;cstc2015jcyjBX0113)

详细信息

作者简介:
刘爽(1994—), 女, 硕士生(E-mail: liushuang_0818@163.com);周志昂(1972—), 男, 教授, 博士(通讯作者. E-mail: zhi_ang@163.com).

中图分类号: O221.6
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- 文章访问数: 1889
- HTML全文浏览量: 328
- PDF下载量: 311
- 被引次数: 0
出版历程
- 收稿日期: 2019-07-27
- 修回日期: 2019-11-19
- 刊出日期: 2020-04-01

Vector Variational-Like Inequalities and Vector Optimization Problems Involving ρ-(η,d)-B Invexity on Riemannian Manifolds

¹College of Science, Chongqing University of Technology, Chongqing 400054, P.R.China;²Chongqing Yuzhong Insitute for Teacher Education, Chongqing 400015, P.R.China

Funds: The National Natural Science Foundation of China(11861002)

摘要

摘要: 该文研究了Riemann流形上的优化问题.首先,利用广义方向导数在Riemann流形上引入ρ-(η,d)-B不变凸函数、ρ-(η,d)-B伪不变凸函数和ρ-(η,d)-B拟不变凸函数.其次,讨论了变分不等式的解与Riemann流形上向量优化问题解之间的关系.最后,建立了优化问题的Kuhn-Tucker充分条件.
- Riemann流形 /
- 向量变分不等式 /
- 向量优化问题 /
- ρ-(η,d)-B不变凸函数
Abstract: A class of optimality problems involving the generalized directional derivatives were studied on Riemannian manifolds. Firstly, by means of the generalized directional derivative, three concepts of the ρ-(η,d)-B invex function, the pseudo ρ-(η,d)-B invex function and the quasi ρ-(η,d)-B invex function on Riemannian manifolds were introduced. Secondly, the relations between the solution to variational inequalities and the solution to the optimization problem on Riemannian manifolds were discussed. Finally, the Kuhn-Tucker sufficient condition for the optimality problem was established.
- Riemannian manifold /
- vector variational inequality /
- vector optimization problem /
- ρ-(η,d)-B invexity

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参考文献(20)

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文章访问数: 1889
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被引次数: 0

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Riemann流形上ρ-(η,d)-B不变凸的向量变分不等式及向量优化问题

doi: 10.21656/1000-0887.400227

作者简介:
刘爽(1994—), 女, 硕士生(E-mail: liushuang_0818@163.com);周志昂(1972—), 男, 教授, 博士(通讯作者. E-mail: zhi_ang@163.com).

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Vector Variational-Like Inequalities and Vector Optimization Problems Involving ρ-(η,d)-B Invexity on Riemannian Manifolds

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目录

留言板

Riemann流形上ρ-(η,d)-B不变凸的向量变分不等式及向量优化问题

doi: 10.21656/1000-0887.400227

作者简介: 刘爽(1994—), 女, 硕士生(E-mail: liushuang_0818@163.com);周志昂(1972—), 男, 教授, 博士(通讯作者. E-mail: zhi_ang@163.com).

计量

出版历程

Vector Variational-Like Inequalities and Vector Optimization Problems Involving ρ-(η,d)-B Invexity on Riemannian Manifolds

计量

出版历程

目录

作者简介:
刘爽(1994—), 女, 硕士生(E-mail: liushuang_0818@163.com);周志昂(1972—), 男, 教授, 博士(通讯作者. E-mail: zhi_ang@163.com).