h. a. rizvi

In this paper, we define an H(·, ·)-mixed relaxed co-ηmonotone mapping and we apply the same for solving a resolvent equation problem in Hilbert spaces. We also prove some of the properties of H(·, ·)-mixed relaxed co-η-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-η-monotone mapping, we construct an example.