A new resolvent algorithm for solving a class of variational inclusions

In this paper, a new resolvent algorithm, which consists of a resolvent operator technique step followed by a suitable orthogonal projection onto a moving half‐space, is considered for solving a class of variational inclusions involving $A$ ‐monotone mapping and $H$ ‐monotone mapping in Hilbert spaces. The convergence of the iterative sequence generated by the algorithm is also proved.