Backward-backward splitting in Hadamard spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:414

Article

Banert, Sebastian

关键词: Algorithm;    Backward-backward splitting;    CAT(0) space;    Convex optimization;    Hadamard space;    Proximal point;    Nonexpansive mapping;    Weak convergence;   

DOI  :  10.1016/j.jmaa.2014.01.054

来源: Elsevier

【 摘 要 】

The backward-backward algorithm is a tool for finding minima of a regularization of the sum of two convex functions in Hilbert spaces. We generalize this setting to Hadamard spaces and prove the convergence of an error-tolerant version of the backward-backward method. (c) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free