Some algorithms for classes of split feasibility problems involving paramonotone equilibria and convex optimization
文献类型：期刊论文
| 作者 | Dong,Q. L.1; Li,X. H.1; Kitkuan,D.2; Cho,Y. J.3,4; Kumam,P.2,5 |
| 刊名 | Journal of Inequalities and Applications
 |
| 出版日期 | 2019-03-27 |
| 卷号 | 2019期号:1 |
| ISSN号 | 1029-242X |
| 关键词 | Split feasibility problem Equilibria Constrained convex optimization Practical model 47H05 47H07 47H10 54H25 |
| DOI | 10.1186/s13660-019-2030-x |
| 英文摘要 | AbstractIn this paper, we first introduce a new algorithm which involves projecting each iteration to solve a split feasibility problem with paramonotone equilibria and using unconstrained convex optimization. The strong convergence of the proposed algorithm is presented. Second, we also revisit this split feasibility problem and replace the unconstrained convex optimization by a constrained convex optimization. We introduce some algorithms for two different types of objective function of the constrained convex optimization and prove some strong convergence results of the proposed algorithms. Third, we apply our algorithms for finding an equilibrium point with minimal environmental cost for a model in electricity production. Finally, we give some numerical results to illustrate the effectiveness and advantages of the proposed algorithms. |
| 语种 | 英语 |
| 出版者 | Springer International Publishing |
| WOS记录号 | BMC:10.1186/S13660-019-2030-X |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32530]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Kumam,P. |
| 作者单位 | 1. 2. 3. 4. 5. |
| 推荐引用方式 GB/T 7714 | Dong,Q. L.,Li,X. H.,Kitkuan,D.,et al. Some algorithms for classes of split feasibility problems involving paramonotone equilibria and convex optimization[J]. Journal of Inequalities and Applications,2019,2019(1). |
| APA | Dong,Q. L.,Li,X. H.,Kitkuan,D.,Cho,Y. J.,&Kumam,P..(2019).Some algorithms for classes of split feasibility problems involving paramonotone equilibria and convex optimization.Journal of Inequalities and Applications,2019(1). |
| MLA | Dong,Q. L.,et al."Some algorithms for classes of split feasibility problems involving paramonotone equilibria and convex optimization".Journal of Inequalities and Applications 2019.1(2019). |
入库方式： OAI收割
来源：数学与系统科学研究院
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