Heinz H. Bauschke, Graeme R. Douglas, Walaa M. Moursi
Published 2015-05-15Version 1
In 1971, Pazy presented a beautiful trichotomy result concerning the asymptotic behaviour of the iterates of a nonexpansive mapping. In this note, we analyze the fixed-point free case in more detail. Our results and examples give credence to the conjecture that the iterates always converge cosmically.
Asymptotic behaviour of a family of gradient algorithms in R^d and Hilbert spaces
Asymptotic behaviour of total generalised variation
On the asymptotic behaviour of the Aragon Artacho-Campoy algorithm
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