Rates of (T-)asymptotic regularity of the generalized Krasnoselskii-Mann-type iteration

Published 16 Jan 2025 in math.OC and math.LO | (2501.09523v2)

Abstract: In this paper we use proof mining methods to compute rates of ($T$-)asymptotic regularity of the generalized Krasnoselskii-Mann-type iteration associated to a nonexpansive mapping $T:X\to X$ in a uniformly convex normed space $X$. For special choices of the parameter sequences, we obtain quadratic rates.

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