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math.OC2024
Quantitative metastability of the Tikhonov-Mann iteration for countable families of mappings
Horatiu Cheval
In this paper, we obtain rates of metastability for the Tikhonov-Mann iteration for countable families of mappings in CAT(0) spaces. This iteration was recently defined by the auth…
math.OC2022
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…
math.OC2021
Quadratic rates of asymptotic regularity for the Tikhonov-Mann iteration
Horatiu Cheval, Laurentiu Leustean
In this paper, we compute quadratic rates of asymptotic regularity for the Tikhonov-Mann iteration in W-hyperbolic spaces. This iteration is an extension to a nonlinear setting of…