Algorithm for solving a new system of generalized nonlinear quasi-variational-like inclusions in Hilbert spaces (Q463274)

Summary: We introduce and study a new system of generalized nonlinear quasi-variational-like inclusions with \(H(\cdot, \cdot)\)-cocoercive operator in Hilbert spaces. We suggest and analyze a class of iterative algorithms for solving the system of generalized nonlinear quasi-variational-like inclusions. An existence theorem of solutions for the system of generalized nonlinear quasi-variational-like inclusions is proved under suitable assumptions which show that the approximate solutions obtained by proposed algorithms converge to the exact solutions.