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

Paulo Firmino; Laurentiu Leustean

paper

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

arXiv:2501.09523

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.