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

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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.

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