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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 Source Publication Journal of Inequalities and Applications ISSN 1029-242X Volume 2019Issue:1 Abstract 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. Keyword Split feasibility problem Equilibria Constrained convex optimization Practical model 47H05 47H07 47H10 54H25 DOI 10.1186/s13660-019-2030-x Language 英语 WOS ID BMC:10.1186/s13660-019-2030-x Publisher Springer International Publishing Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/32531 Collection 中国科学院数学与系统科学研究院 Corresponding Author Kumam,P. Affiliation 1.2.3.4.5. Recommended CitationGB/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).
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