Abstract
In this paper, we aim to complement our work reported in [20] by showing some further properties and results on Clarke subdifferential, Pareto-Clarke critical points and descent directions on Hadamard manifolds. These tools and results can be applied to introduce new algorithms for solving nonsmooth nonconvex multiobjective minimization problems on Hadamard manifolds.
| Original language | English |
|---|---|
| Title of host publication | Modelling, Computation and Optimization in Information Systems and Management Sciences - Proceedings of the 4th International Conference on Modelling, Computation and Optimization in Information Systems and Management Sciences - MCO 2021 |
| Editors | Hoai An Le Thi, Hoai Minh Le, Hoai An Le Thi, Tao Pham Dinh |
| Publisher | Springer Science and Business Media Deutschland GmbH |
| Pages | 182-192 |
| Number of pages | 11 |
| ISBN (Print) | 9783030926656 |
| DOIs | |
| State | Published - 2022 |
| Externally published | Yes |
| Event | 4th International conference on Modelling, Computation and Optimization in Information Systems and Management Sciences, MCO 2021 - Hanoi, Viet Nam Duration: 11 Dec 2021 → 13 Dec 2021 |
Publication series
| Name | Lecture Notes in Networks and Systems |
|---|---|
| Volume | 363 LNNS |
| ISSN (Print) | 2367-3370 |
| ISSN (Electronic) | 2367-3389 |
Conference
| Conference | 4th International conference on Modelling, Computation and Optimization in Information Systems and Management Sciences, MCO 2021 |
|---|---|
| Country/Territory | Viet Nam |
| City | Hanoi |
| Period | 11/12/21 → 13/12/21 |
Bibliographical note
Publisher Copyright:© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
Keywords
- Descent direction
- Hadamard manifolds
- Multiobjective optimization
- Pareto optimality
- Pareto-Clarke critical point