On a result of Pazy concerning the asymptotic behaviour of nonexpansive mappings
arXiv:1505.041299 citations
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Theoretical contribution to the asymptotic analysis of nonexpansive mappings, incremental refinement of known results.
The paper analyzes the fixed-point free case of Pazy's trichotomy for nonexpansive mappings, providing results and examples supporting the conjecture that iterates converge cosmically.
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.