Some algorithms for classes of split feasibility problems involving paramonotone equilibria and convex optimization

doi:10.1186/s13660-019-2030-x

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	Some algorithms for classes of split feasibility problems involving paramonotone equilibria and convex optimization
	Dong,Q. L.1; Li,X. H.1; Kitkuan,D.2; Cho,Y. J.3,4; Kumam,P.2,5
	2019-03-27
发表期刊	Journal of Inequalities and Applications
ISSN	1029-242X
卷号	2019 期号:1
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.
关键词	Split feasibility problem Equilibria Constrained convex optimization Practical model 47H05 47H07 47H10 54H25
DOI	10.1186/s13660-019-2030-x
语种	英语
WOS记录号	BMC:10.1186/s13660-019-2030-x
出版者	Springer International Publishing
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32531
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).