An inertial self-adaptive algorithm for the generalized split common null point problem in Hilbert spaces

In this paper, we propose an inertial self-adaptive algorithm for solving the generalized split common null point problem introduced by Reich and Tuyen (Optimization 69(5): 1013–1038, 2020). The strong convergence theorem of our proposed method is established in real Hilbert spaces. As applications, we apply our main result to the generalized split feasibility problem, the generalized split equilibrium problem and the generalized split minimization problem. Finally, we provide numerical experiments to show the efficiency and advantage of the proposed method.