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math.FA2026
The proximal point method and its two variants for monotone vector fields in Hadamard spaces
Parin Chaipunya, Fumiaki Kohsaka
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 resu…
math.FA2026
Sion's minimax theorem and the proximal point algorithm in Hadamard spaces
Fumiaki Kohsaka
We obtain Sion's minimax theorem in Hadamard spaces and discuss its applications. Among other things, we study several fundamental properties of resolvents of saddle functions in H…