A new class of g-η-monotone mappings and a class of generalized implicit variational-like inclusions involving g-η-monotone mappings are introduced. The resolvent operator of g-η-monotone mappings is defined and its Lipschitz continuity is presented.An iterative algorithm for approximating the solutions of generalized implicit variationallike inclusions is suggested and analyzed. The convergence of iterative sequences generated by the algorithm is also proved.