h(
;
)-mixed relaxed co--monotone mapping with an application for solving a resolvent equation problem

In this paper, we dene an h(
;
)-mixed relaxed co--monotone mapping and we apply the same for solving a resolvent equa-tion problem in hilbert spaces. we also prove some of the properties ofh(
;
)-mixed relaxed co--monotone mapping. a mann-type iterativealgorithm is developed to approximate the solution of resolvent equationproblem. convergence of the iterative sequences is also demonstrated.in support of the concept of h(
;
)-mixed relaxed co--monotone map-ping, we construct an example.