Abstract
This paper deals with the proximal point algorithm for finding a singularity of sum of a single-valued vector field and a set-valued vector field in the setting of Hadamard manifolds. The convergence analysis of the proposed algorithm is discussed. Applications to composite minimization problems and variational inequality problems are also presented.
| Original language | English |
|---|---|
| Pages (from-to) | 901-921 |
| Number of pages | 21 |
| Journal | Optimization Letters |
| Volume | 15 |
| Issue number | 3 |
| DOIs | |
| State | Published - Apr 2021 |
Bibliographical note
Publisher Copyright:© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
Keywords
- Composite minimization problems
- Hadamard manifolds
- Inclusion problems
- Maximal monotone vector fields
- Proximal point algorithm
- Variational inequality problems
ASJC Scopus subject areas
- Business, Management and Accounting (miscellaneous)
- Control and Optimization