Abstract
In this paper, we consider the inclusion problems for maximal monotone set-valued vector fields defined on Hadamard manifolds. We discuss the equivalence between nonemptiness of solution set of the inclusion problem and the coercivity condition. The boundedness of solution set of the inclusion problem is studied. An application of our results to optimization problems in Hadamard manifolds is also presented.
| Original language | English |
|---|---|
| Pages (from-to) | 711-727 |
| Number of pages | 17 |
| Journal | Optimization Letters |
| Volume | 14 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Apr 2020 |
Bibliographical note
Publisher Copyright:© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
Keywords
- Boundedness of solution set
- Coercivity conditions
- Existence results
- Hadamard manifolds
- Inclusion problems
- Maximal monotone vector fields
ASJC Scopus subject areas
- Control and Optimization