On the convergence of an implicit and relaxed Krasnoselskii-Mann type process for nonexpansive mappings

Authors

  • Ramzi May
  • Marouane Rabaoui

DOI:

https://doi.org/10.1285/i15900932v44n2p127

Keywords:

Hilbert space, nonexpansive mapping, Krasnoselskii-Mann process

Abstract

In this paper, we answer a question raised by Hong-Kun Xu in [14] about the weak convergence of a generalized semi-implicit relaxed version of the Krasnoselskii-Mann process for nonexpansive mappings. The stability of this process is then studied, and some numerical experiments are provided in order to measure the effect of the process parameters on the convergence speed.

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Published

11-02-2025

Issue

Volume 44, issue 2 (2024)

Section

Articoli

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