| 张量变分不等式解的存在性 |
| |
| 引用本文： | 牟文杰,范江华.张量变分不等式解的存在性[J].吉林大学学报(理学版),2021,59(3):537-543. |
| |
| 作者姓名： | 牟文杰 范江华 |
| |
| 作者单位： | 广西师范大学 数学与统计学院, 广西 桂林 541006 |
| |
| 摘 要： | 用凸分析方法研究张量变分不等式问题解的存在性. 首先给出张量变分不等式问题解集为空集的一个必要条件; 其次, 当张量在集合的退化锥上正定时, 证明张量变分不等式问题的解集为非空紧致集, 并给出张量变分不等式问题解集为非空紧致集的一些强制性条件及张量变分不等式问题解集为非空紧致集的必要条件.
|
| 关 键 词： | 张量变分不等式 非空紧致集 退化锥 |
| 收稿时间： | 2020-09-10 |
Existence of Solutions for Tensor Variational Inequalities |
| |
| MU Wenjie,FAN Jianghua.Existence of Solutions for Tensor Variational Inequalities[J].Journal of Jilin University: Sci Ed,2021,59(3):537-543. |
| |
| Authors: | MU Wenjie FAN Jianghua |
| |
| Institution: | College of Mathematics and Statistics, Guangxi Normal University, Guilin 541006,Guangxi Zhuang Autonomous Region, China |
| |
| Abstract: | We investigated the existence of solutions for tensor variational inequality problems by using convex analysis. Firstly, we gave a necessary condition for the solution set of tensor variational inequality problems to be empty. Secondly, when the tensor was positive definite on the asymptotic cone of the set, we proved that the solution set of the tensor variational inequality problems was nonempty and compact, and gave several coercivity conditions for the solution set of tensor variational inequality problems to be nonempty and compact, and gave a necessary condition for the solution set of tensor variational inequality problems to be nonempty and compact. |
| |
| Keywords: | tensor variational inequality nonemptiness and compactness asymptotic cone |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
