A new strong convergence for solving split variational inclusion problems
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초록

The purpose of this article is to propose an algorithm for finding an approximate solution of a split variational inclusion problem for monotone operators. By using inertial method, we get a new and simple algorithm for such a problem. Under standard assumptions, we study the strong convergence theorem of the proposed algorithm. As application, we study the split feasibility problem in real Hilbert spaces. Finally, for supporting the convergence of the proposed algorithm, we also consider several preliminary numerical experiments for solving signal recovery by compressed sensing.

키워드

Inertial methodContraction methodSplit feasibility problemSignal recovery47 J2047 J25INERTIAL PROXIMAL ALGORITHMMAXIMAL MONOTONE-OPERATORSNULL POINT PROBLEMCONTRACTION METHODSGRADIENT-METHODHILBERT-SPACESPROJECTIONFEASIBILITYMINIMIZATIONSETS
제목
A new strong convergence for solving split variational inclusion problems
저자
Thong, Duong VietDung, Vu TienCho, Yeol Je
DOI
10.1007/s11075-020-00901-0
발행일
2021-02
유형
Article
저널명
Numerical Algorithms
86
2
페이지
565 ~ 591