By Odibo, Samuel Ehis
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 least
norm element of the set of fixed points of asymptotically demicontractive mapping.