On a result of Pazy concerning the asymptotic behaviour of nonexpansive mappings
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🧮 math.OC
cs.NAmath.NA
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asymptoticbehaviourconcerningiteratesnonexpansivepazyresultalways
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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.
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