Convergence In Norm Of Modified Krasnoselskii-Mann Iteration For Fixed Points Of Asymptotically Demicontractive Mappings

Abstract

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 _xed points of asymptotically demicontractive mapping.