53 citations · 77 across the 27 of their papers we have counts for
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Quantitative asymptotic regularity and -asymptotic regularity for the inexact generalized Halpern iteration
Nicoleta Dumitru, Laurentiu Leustean
We apply proof mining techniques to obtain quantitative and qualitative results on asymptotic and T-asymptotic regularity for the inexact generalized Halpern iteration, a viscosity…
Quantitative results on a generalized viscosity approximation method
Paulo Firmino, Laurentiu Leustean
In this paper, we study, in a nonlinear setting, the asymptotic behaviour of a generalized viscosity approximation method associated with a countable family of nonexpansive mapping…
Rates of (T-)asymptotic regularity of the generalized Krasnoselskii-Mann-type iteration
Paulo Firmino, Laurentiu Leustean
In this paper we use proof mining methods to compute rates of (-)asymptotic regularity of the generalized Krasnoselskii-Mann-type iteration associated to a nonexpansive mapping…
Quantitative asymptotic regularity of the VAM iteration with error terms for m-accretive operators in Banach spaces
Paulo Firmino, Laurentiu Leustean
In this paper we obtain, by using proof mining methods, quantitative results on the asymptotic regularity of the viscosity approximation method (VAM) with error terms for m-accreti…
Rates of asymptotic regularity for the alternating Halpern-Mann iteration
Laurentiu Leustean, Pedro Pinto
In this paper we extend to -hyperbolic spaces the quantitative asymptotic regularity results for the alternating Halpern-Mann iteration obtained by Dinis and the second author…
On modified Halpern and Tikhonov-Mann iterations
Horatiu Cheval, Ulrich Kohlenbach, Laurentiu Leustean
We show that the asymptotic regularity and the strong convergence of the modified Halpern iteration due to T.-H. Kim and H.-K. Xu and studied further by A. Cuntavenapit and B. Pany…