H(
;
)-Mixed Relaxed Co--Monotone Mapping with an Application for Solving a Resolvent Equation Problem

In this paper, we dene 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 of H(
;
)-mixed relaxed co--monotone mapping. A mann-type iterative algorithm is developed to approximate the solution of resolvent equation problem. 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.