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

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.