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arXiv · 2108.13994

Abstract strongly convergent variants of the proximal point algorithm

Andrei Sipos
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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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Andrei Sipos. 2022-11-21. Abstract strongly convergent variants of the proximal point algorithm. https://doi.org/10.1007/s10589-022-00397-5

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