Abstract
We introduce an interior proximal point algorithm with proximal distances to solve quasimonotone Equilibrium problems defined on convex sets. Under adequate assumptions, we prove that the sequence generated by the algorithm converges to a solution of the problem and for a broad class of proximal distances the rate of convergence of the sequence is linear or superlinear.
| 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 | 3-15 |
| Number of pages | 13 |
| ISBN (Print) | 9783030926656 |
| DOIs | |
| State | Published - 2022 |
| 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
Funding Information:Supported by Universidad Privada del Norte, Peru.
Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
Keywords
- Proximal algorithms
- Proximal distances
- Quasimonotone bifunctions