A parallel Tseng’s splitting method for solving common variational inclusion applied to signal recovery problems

Advances in Difference Equations

Raweerote Suparatulatorn¹  Thanasak Mouktonglang¹  Aviv Gibali²  Watcharaporn Cholamjiak³ 

[1] Advanced Research Center for Computational Simulation, Chiang Mai University, 50200, Chiang Mai, Thailand;Department of Mathematics, Faculty of Science, Chiang Mai University, 50200, Chiang Mai, Thailand;Department of Mathematics, ORT Braude College, 2161002, Karmiel, Israel;The Center for Mathematics and Scientific Computation, University of Haifa, Mt. Carmel, 3498838, Haifa, Israel;School of Science, University of Phayao, 56000, Phayao, Thailand;

关键词: Common variational inclusion problem;    Inertial proximal algorithm;    Tseng’s splitting algorithm;    Compressed sensing;    Communications technology;    Information and communication technology;    65Y05;    68W10;    47H05;    47J25;    49M37;   

DOI  :  10.1186/s13662-021-03647-8

来源: Springer

【 摘 要 】

In this work we propose an accelerated algorithm that combines various techniques, such as inertial proximal algorithms, Tseng’s splitting algorithm, and more, for solving the common variational inclusion problem in real Hilbert spaces. We establish a strong convergence theorem of the algorithm under standard and suitable assumptions and illustrate the applicability and advantages of the new scheme for signal recovering problem arising in compressed sensing.

【 授权许可】

CC BY