This project report deals with the class of asymptotically demicontractive mappings in
Hilbert spaces. We noted some historical aspects concerning the concept of asymptotically demicontractivity and studied a regularized variant of the Krasnoselskii-Mann iteration scheme, which ensured the strong convergence of the generated sequence towards the leastnorm element of the set of fixed points of asymptotically demicontractive mapping.
