Monotone vector fields and the proximal point algorithm 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 [21] and Rockafellar [27], has been extended to different contexts, see [13], [19], [25] and their references.”
Resolvents of Set-Valued Monotone Vector Fields in Hadamard Manifolds (2011, methodology): “Theorem 3 [28] Let A ∈ X (M) be a maximal strongly monotone vector f ield with full domain, i.”
Fixed-Point Algorithms for Inverse Problems in Science and Engineering (2011, background): “López [60] and Martı́n-Márquez [67] explored monotone operator theory on Hadamard manifolds, including convergence results for a proximal point algorithm.”
Monotone and Accretive Vector Fields on Riemannian Manifolds (2010, background): “Keywords Hadamard manifold · Monotone vector field · Accretive vector field · Singularity · Fixed point · Iterative algorithm · Convex function”
Nash-type equilibria on Riemannian manifolds: a variational approach (2016, methodology): “1 shows in particular that Hadamard manifolds are indeed the appropriate frameworks for developing successfully the approaches in [24,25], and [31] and further related works.”