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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