| 高辉,张明堃,王晓亮,庞丽萍.求解均衡问题的分离惯性算法[J].,2020,60(6):642-646 |
| 求解均衡问题的分离惯性算法 |
| An inertial splitting algorithm for solving equilibrium problems |
| |
| DOI：10.7511/dllgxb202006012 |
| 中文关键词: 两个函数和 均衡问题 分离算法 惯性 |
| 英文关键词: sum of two functions equilibrium problem splitting algorithm inertial |
| 基金项目:国家自然科学基金资助项目(11801054). |
|
| 摘要点击次数: 416 |
| 全文下载次数: 343 |
| 中文摘要: |
| 研究两个函数和的非光滑均衡问题，对这类问题提出了一个结合惯性方法的分离算法．每次迭代，交替求解两个简单的强凸子问题．在不要求函数是Lipschitz连续或Hlder连续的条件下，证明了算法的收敛性．通过与已有的几个算法比较，验证了算法的有效性． |
| 英文摘要: |
| Nonsmooth equilibrium problems given by a sum of two functions are studied and a splitting algorithm combining an inertial method is proposed for equilibrium problems. At each iteration, two simple strongly convex subproblems are solved alternatively. Without any Lipschitz continuous condition or Hlder continuity of the involved functions, the convergence of the algorithm is proved. Several experiments are performed to show the computational efficiency compared with related algorithms. |
|
查看全文
查看/发表评论 下载PDF阅读器 |
| 关闭 |
|
|
|