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Quadratic rates of asymptotic regularity for the Tikhonov-Mann iteration

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 Bot, Csetnek and Meier in Hilbert spaces. Furthermore, we show that the Douglas-Rachfors and forward-backward algorithms with Tikhonov regularization terms are special cases, in Hilbert spaces, of our Tikhonov-Mann iteration.

preprint2022arXivOpen access
Horatiu ChevalLaurentiu Leustean
math.OC
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Open access2 authors1 topic
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Horatiu ChevalLaurentiu Leustean

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