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arXiv:2108.13994 [math.OC]AbstractReferencesReviewsResources

Abstract strongly convergent variants of the proximal point algorithm

Andrei Sipos

Published 2021-08-31Version 1

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 metastability (in the sense of Tao) for these iterations using proof mining techniques.

Categories: math.OC, math.LO
Subjects: 90C25, 46N10, 47J25, 47H09, 03F10
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