The proximal point method and its two variants for monotone vector fields in Hadamard spaces
Functional Analysis
2026-05-05 v1 Metric Geometry
Optimization and Control
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.
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Cite
@article{arxiv.2605.01354,
title = {The proximal point method and its two variants for monotone vector fields in Hadamard spaces},
author = {Parin Chaipunya and Fumiaki Kohsaka},
journal= {arXiv preprint arXiv:2605.01354},
year = {2026}
}
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30 pages