The Proximal Point Algorithm for Monotone Vector Fields on Complete Geodesic Spaces
DOI:
https://doi.org/10.58715/ncao.2025.4.1Keywords:
Geodesic space, Monotone vector field, Proximal point algorithm, Zero point approximationAbstract
In this paper, we deal with monotone vector fields defined on geodesic spaces and their zero point approximation method. In an appropriate setting, we can define the resolvent operator for a given monotone vector field, and then that operator has many useful properties which are effective for the fixed point theory. We will show an approximation theorem for a monotone vector field with the canonical proximal point algorithm.
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Copyright (c) 2025 Shuta Sudo

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