Convergence of proximal splitting algorithms in CAT(κ) spaces and beyond

RT @mathOCb: Florian Lauster, D. Russell Luke: Convergence of Proximal Splitting Algorithms in CAT(k) Spaces and Beyond https://t.co/yJdr2m…

nonexpansiveness and firm nonexpansiveness in p-uniformly convex spaces. [3/3 of https://t.co/RlYstJ8idL]

subregularity. Linear metric subregularity is in any case necessary for linearly convergent fixed point sequences, so the result is tight. To show this, we develop a theory of fixed point mappings that violate the usual assumptions of [2/3 of https://t.co/

In the setting of CAT(k) spaces, common fixed point iterations built from prox mappings (e.g. prox-prox, Krasnoselsky-Mann relaxations, nonlinear projected-gradients) converge locally linearly under the assumption of linear metric [1/3 of https://t.co/RlYs

Florian Lauster, D. Russell Luke: Convergence of Proximal Splitting Algorithms in CAT(k) Spaces and Beyond https://t.co/yJdr2mjCkm https://t.co/aYjKRPLpXO