# Quadratic rates of asymptotic regularity for the Tikhonov-Mann iteration

@inproceedings{Cheval2021QuadraticRO, title={Quadratic rates of asymptotic regularity for the Tikhonov-Mann iteration}, author={Horatiu Cheval and Laurentiu Leustean}, year={2021} }

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 the modified Mann iteration defined recently by Boţ, Csetnek and Meier in Hilbert spaces.

## 2 Citations

Abstract strongly convergent variants of the proximal point algorithm

- Mathematics
- 2021

We prove an abstract form of the strong convergence of the Halpern-type and Tikhonov-type proximal point algorithms in CAT(0) spaces. In addition, we derive uniform and computable rates of…

Strong convergence for the alternating Halpern-Mann iteration in CAT(0) spaces

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- 2021

In this paper we consider, in the general context of CATp0q spaces, an iterative schema which alternates between Halpern and Krasnoselskii-Mann style iterations. We prove, under suitable conditions,…

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