Báo cáo viên: Prof. Pham Ngoc Anh (Posts and Telecommunications Institute of Technology)
Tóm tắt: In this talk, we present a new outer proximation projection approach for solving the variational inequality problems in the real Euclidean space, where the feasible set is replaced by its polyhedral outer approximation. First, we prove the quasicontractiveness of the outer proximal operator. Second, we apply this property to present two new algorithms and their convergence under monotone and Lipschitz continuous assumptions of the cost mapping. Finally, we give some numerical results for the proposed algorithms and comparison with other well - known methods via Cnc-image recovery models.
