Sion's minimax theorem is established in Hadamard spaces, with properties of resolvents of saddle functions and an application to the proximal point algorithm for minimax problems.
Baˇ c´ ak,The proximal point algorithm in metric spaces, Israel J
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The proximal point method and its variants converge for monotone vector fields in Hadamard spaces.
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Sion's minimax theorem and the proximal point algorithm in Hadamard spaces
Sion's minimax theorem is established in Hadamard spaces, with properties of resolvents of saddle functions and an application to the proximal point algorithm for minimax problems.
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The proximal point method and its two variants for monotone vector fields in Hadamard spaces
The proximal point method and its variants converge for monotone vector fields in Hadamard spaces.