A modified subgradient extragradient algorithm-type for solving quasimonotone variational inequality problems with applications

Abstract In this article, we introduce an inertial-type algorithm that combines the extragradient subgradient method, projection contraction and viscosity method. The proposed method is used for solving quasimonotone variational inequality problems in infinite dimensional real Hilbert spaces such it does not depend on Lipschitz constant of cost operator. Further, prove strong convergence results new algorithm. Our are achieved without imposing strict conditions control parameters inertial factor our We utilize to solve some applied sciences engineering as image restoration optimal control. Some numerical experiments carried out support theoretical results. illustrations show more efficient than many existing methods.