A modified inertial Tseng technique of Bilevel variational inequality problem with application to image processing

In this paper, we propose and study a new modified Tseng inertial iterative technique for solving Bilevel quasimonotone Variational Inequality Problem (BVIP) in the framework of Hilbert spaces. In addition, we establish a strong convergence result of the proposed iterative technique under some mild assumptions, the proposed iterative technique does not need prior knowledge of Lipschitz's constant of the quasimonotone operator. Finally, we present a numerical example of our proposed methods in comparison with some recent results in the literature, also, we apply our iterative technique to image deblurring and optimal control problems.