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CONVERGENCE IN NORM OF MODIFIED KRASNOSELSKII-MANN ITERATION FOR FIXED POINTS OF ASYMPTOTICALLY DEMICONTRACTIVE MAPPINGS

By

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.