Convergence in Norm of Modified Krasnoselskii-Mann Iteration for Fixed Points of Asymptotically Demicontractive Mappings


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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