Proximal point methods for quasiconvex and convex functions with Bregman distances on Hadamard manifolds

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Proximal point method for a special class of nonconvex functions on Hadamard manifolds (2008, methodology): “The proximal point algorithm, introduced by Martinet [11] and Rockafellar [12], has been extended to different contexts; see [4,6] and the references therein.”
The proximal point algorithm in metric spaces (2012, methodology): “In particular, the proximal point algorithm in the context of Riemannian manifold (of nonpositive sectional curvature) was studied in [6, 12, 20, 24].”
Proximal Algorithms in Statistics and Machine Learning (2015, background): “Papa Quiroz and Oliveira (2009) show that these iterates converge to the global minima, although the proximal operator at each step may be set-valued, due to the nonconvexity of l.”