The proximal point algorithm with a general perturbation on geodesic spaces

In this paper, we show some properties of a proximal mapping with a general perturbation for convex functions. We further investigate the existence and approximation of minimizers of a given convex function by using the proximal point algorithm with a general perturbation in complete geodesic spaces...

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Bibliographic Details
Main Authors: Takuto Kajimura, Yasunori Kimura
Format: Article
Language:English
Published: Elsevier 2025-08-01
Series:Results in Applied Mathematics
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Online Access:http://www.sciencedirect.com/science/article/pii/S2590037425000822
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Summary:In this paper, we show some properties of a proximal mapping with a general perturbation for convex functions. We further investigate the existence and approximation of minimizers of a given convex function by using the proximal point algorithm with a general perturbation in complete geodesic spaces.
ISSN:2590-0374