paper

The proximal point method and its two variants for monotone vector fields in Hadamard spaces

arXiv:2605.01354

Abstract

We prove existence and convergence of sequences generated by the proximal point method and its two variants for monotone vector fields in Hadamard spaces. Before obtaining our results, we investigate some fundamental properties of tangent spaces, resolvents, and monotone vector fields in such spaces.

30 pages

The proximal point method and its two variants for monotone vector fields in Hadamard spaces · wovepaper