An inertial parallel CQ subgradient extragradient method for variational inequalities application to signal-image recovery

Year 2021, , 217 - 234, 31.12.2021

Watcharaporn Cholamjiak , Ponkamon Kıtısak , Damrongsak Yambangwaı

https://doi.org/10.53006/rna.960559

Cited By: 3

Abstract

In this paper, we introduce an inertial parallel CQ subgradient extragradient method for finding a common solutions of variational inequality problems. The novelty of this paper is using linesearch methods to find unknown L constant of L-Lipschitz continuous mappings. Strong convergence theorem has been proved under some suitable conditions in Hilbert spaces. Finally, we show applications to signal and image recovery, and show the good efficiency of our proposed algorithm when the number of subproblems is increasing.

Keywords

CQ algorith, Subgradient extragradient method, Parallel algorithm, Signal recovery, Image restoration

Supporting Institution

University of Phayao, Thailand

Project Number

-

Thanks

The authors would like to thank University of Phayao, Thailand.

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