System of Generalized Mixed Quasi-Variational Like Inclusions with Relaxed(H,η)-monotone Operators in Banach Spaces

In this paper,a new system of generalized mixed quasi-variational-like inclusions with relaxed(H,η)-monotone operators is introduced and studied in Banach Spaces.By using the resolvent operator technique associated with relaxed(H,η)-monotone operators,we construct a new proximal algorithm for solving the system of generalized mixed quasi-variational-like inclusions.We also prove the iterative sequences generated by the algorithms converge strongly to the exact solution of the system of generalized mixed quasi-variational-like inclusions.Our results improve and generalize many known corresponding results in recently literatures.