Proximal minimization in CAT(κ)(κ) spaces

preprint2016arXivOpen access

Abstract

In this note, we provide convergence results for the proximal point algorithm and a splitting variant thereof in the setting of CAT(κ)(κ) spaces with κ>0κ> 0 using a recent definition for the resolvent of a convex, lower semi-continuous function due to Kimura and Kohsaka (J. Fixed Point Theory Appl. 18 (2016), 93-115).

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