Dergiler / Advances in the Theory of Nonlinear Analysis and its Application / 2019 / Cilt: 3 - Sayı: 4
The proximal point algorithm in complete geodesic spaces with negative curvature
- Sayfa
- 192–200
- DOI
- —
Abstract
The proximal point algorithm is an approximation method for finding a minimizer of a convex function. In this paper, we introduce the resolvent for a convex function in complete geodesic spaces with negative curvature. Using properties of the resolvent, we show the proximal point algorithm in complete geodesic spaces with negative curvature.