Proximal algorithm for solving monotone variational inclusion. (3rd August 2018)

• Record Type: Journal Article
• Authors: Zhang, Cuijie; Wang, Yinan
• Is Part Of: Optimization. Volume 67:Number 8(2018)
• Page Start: 1197
• Page End: 1209
• Publication Date: 2018-08-03
• Subjects: Monotone variational inclusion problem -- resolvent operator -- weak convergence -- projection and contraction; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2018.1455832
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract: In this paper, we introduce a contraction algorithm for solving monotone variational inclusion problem. To reach this goal, our main iterative algorithm combine Dong's projection and contraction algorithm with resolvent operator. Under suitable assumptions, we prove that the sequence generated by our main iterative algorithm converges weakly to the solution of the considered problem. Finally, we give two numerical examples to verify the feasibility of our main algorithm.