A general approach to distributed operator splitting
Abstract
Splitting methods have emerged as powerful tools to address complex problems by decomposing them into smaller solvable components. In this work, we develop a general approach to forward-backward splitting methods for solving monotone inclusion problems involving both set-valued and single-valued operators, where the latter may lack cocoercivity. Our proposed approach, based on some coefficient matrices, not only encompasses several important existing algorithms but also extends to new ones, offering greater flexibility for different applications. Moreover, by appropriately selecting the coefficient matrices, the resulting algorithms can be implemented in a distributed and decentralized manner.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Holomorphic and Operator Theory
Distributed systems and fault tolerance
Publication details
- Journal / source
- Journal of Mathematical Analysis and Applications
- Publisher
- Elsevier BV
- Volume
- 562
- Issue
- 2
- Pages
- 130692–130692
- Publication date
- 15 April 2026
- Language
- EN