WANG Rui,HU Rong.Levitin-Polyak Well-posedness by Perturbations of Split Equilibrium Problem[J].Journal of Chengdu University of Information Technology,2023,38(02):244-250.[doi:10.16836/j.cnki.jcuit.2023.02.018]
分裂平衡问题的扰动Levitin-Polyak适定性
- Title:
- Levitin-Polyak Well-posedness by Perturbations of Split Equilibrium Problem
- 文章编号:
- 2096-1618(2023)02-0244-07
- 关键词:
- 分裂平衡问题; 扰动Levitin-Polyak适定性; 近似解集; 距离刻画; 解集非空有界
- Keywords:
- split equilibrium problem; Levitin-Polyak well-posedness by perturbations; approximating solution set; metric characterization; nonemptiness and boundedness of the solution set
- 分类号:
- O176
- 文献标志码:
- A
- 摘要:
- 将Lucchetti与Patrone意义下的适定性概念拓展到分裂平衡问题,讨论Banach空间中分裂平衡问题在Lucchetti与Patrone意义下带扰动的Levitin-Polyak适定性。首先,借助近似解集分别给出分裂平衡问题扰动Levitin-Polyak适定性和广义扰动Levitin-Polyak适定性的距离刻画; 然后证明当分裂平衡问题具有非空有界解集时,分裂平衡问题是广义扰动适定的。
- Abstract:
- The purpose of this paper is to extend the concept of well-posedness in the sense of Lucchetti and Patrone to the problem of splitting equilibrium,and to investigate the Levitin-Polyak well-posedness by perturbations(in the Lucchetti and Patrone’s sense)of the split equilibrium problem in Banach space.First,the metric characterizations of Levitin-Polyak well-posedness by perturbations and generalized Levitin-Polyak well-posedness by perturbations are obtained respectively by using approximate solution set.And then,it is proved that the split equilibrium problem is generalized well-posedness by perturbations when the problem has a nonempty and bounded solution set.
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相似文献/References:
[1]王 瑞,胡 容.分裂平衡问题的Levitin-Polyak适定性[J].成都信息工程大学学报,2021,36(05):570.[doi:10.16836/j.cnki.jcuit.2021.05.016]
WANG Rui,HU Rong.Levitin-Polyak Well-posedness for Split Equilibrium Problem[J].Journal of Chengdu University of Information Technology,2021,36(02):570.[doi:10.16836/j.cnki.jcuit.2021.05.016]
备注/Memo
收稿日期:2022-02-11