The proximal point algorithm in complete geodesic spaces with negative curvature

The proximal point algorithm is an approximation method for finding a minimizer of a convex function. In this paper, using the properties of the resolvent which was proposed by the authors, we show the proximal point algorithm using a suitable notion of weak convergence in complete geodesic spaces...

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Bibliographic Details
Main Authors: Takuto Kajimura, Yasunori Kimura
Format: Article
Language:English
Published: ATNAA 2019-10-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/827808