Proximal minimization in CAT$(\kappa)$ spaces

Adriana Nicolae; Rafa Esp\'inola

arxiv: 1607.03660 · v2 · pith:R2SOMMNOnew · submitted 2016-07-13 · 🧮 math.OC

Proximal minimization in CAT(kappa) spaces

Rafa Esp\'inola , Adriana Nicolae This is my paper

classification 🧮 math.OC

keywords kappapointproximalspacesalgorithmapplconvergenceconvex

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In this note, we provide convergence results for the proximal point algorithm and a splitting variant thereof in the setting of CAT$(\kappa)$ spaces with $\kappa > 0$ 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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Proximal minimization in CAT(kappa) spaces

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