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Abstract strongly convergent variants of the proximal point algorithm

Published 31 Aug 2021 in math.OC and math.LO | (2108.13994v4)

Abstract: 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.

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