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Two proximal splitting methods in Hadamard spaces.
- Source :
- Applicable Analysis; Jan2023, Vol. 102 Issue 2, p635-650, 16p
- Publication Year :
- 2023
-
Abstract
- Motivated by computing medians and means, two proximal splitting methods, backward-backward scheme introduced by Passty [Ergodic convergence to a zero of the sum of monotone operators in Hilbert spaces. J Math Anal Appl. 1979;72:383–390.] and barycentric method introduced by Lehdili and Lemaire [Metric spaces of non-positive curvature. Berlin: Springer; 1999.] are investigated in Hadamard space setting. A weak ergodic convergence theorem and some strong convergene results for both schemes are studied. [ABSTRACT FROM AUTHOR]
- Subjects :
- METRIC spaces
MONOTONE operators
HILBERT space
CURVATURE
MATHEMATICS
CONVEX functions
Subjects
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 102
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 162598864
- Full Text :
- https://doi.org/10.1080/00036811.2021.1960983