Strong Convergence on the Aggregate Constraint-Shifting Homotopy Method for Solving General Nonconvex Programming
In the paper, the aggregate constraint-shifting homotopy method for solving general nonconvex nonlinear programming is considered. The aggregation is only about inequality constraint functions. Without any cone condition for the constraint functions, the existence and convergence of the globally con...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/8887029 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832547131907375104 |
|---|---|
| author | Zhichuan Zhu Yeong-Cheng Liou |
| author_facet | Zhichuan Zhu Yeong-Cheng Liou |
| author_sort | Zhichuan Zhu |
| collection | DOAJ |
| description | In the paper, the aggregate constraint-shifting homotopy method for solving general nonconvex nonlinear programming is considered. The aggregation is only about inequality constraint functions. Without any cone condition for the constraint functions, the existence and convergence of the globally convergent solution to the K-K-T system are obtained for both feasible and infeasible starting points under much weaker conditions. |
| format | Article |
| id | doaj-art-1d9edf0b38864f51a631e4d011a041e7 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1d9edf0b38864f51a631e4d011a041e72025-02-03T06:45:52ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/88870298887029Strong Convergence on the Aggregate Constraint-Shifting Homotopy Method for Solving General Nonconvex ProgrammingZhichuan Zhu0Yeong-Cheng Liou1School of Economics, Liaoning University, Shenyang, Liaoning 110136, ChinaDepartment of Healthcare Administration and Medical Informatics, and Research Center of Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 807, TaiwanIn the paper, the aggregate constraint-shifting homotopy method for solving general nonconvex nonlinear programming is considered. The aggregation is only about inequality constraint functions. Without any cone condition for the constraint functions, the existence and convergence of the globally convergent solution to the K-K-T system are obtained for both feasible and infeasible starting points under much weaker conditions.http://dx.doi.org/10.1155/2020/8887029 |
| spellingShingle | Zhichuan Zhu Yeong-Cheng Liou Strong Convergence on the Aggregate Constraint-Shifting Homotopy Method for Solving General Nonconvex Programming Journal of Mathematics |
| title | Strong Convergence on the Aggregate Constraint-Shifting Homotopy Method for Solving General Nonconvex Programming |
| title_full | Strong Convergence on the Aggregate Constraint-Shifting Homotopy Method for Solving General Nonconvex Programming |
| title_fullStr | Strong Convergence on the Aggregate Constraint-Shifting Homotopy Method for Solving General Nonconvex Programming |
| title_full_unstemmed | Strong Convergence on the Aggregate Constraint-Shifting Homotopy Method for Solving General Nonconvex Programming |
| title_short | Strong Convergence on the Aggregate Constraint-Shifting Homotopy Method for Solving General Nonconvex Programming |
| title_sort | strong convergence on the aggregate constraint shifting homotopy method for solving general nonconvex programming |
| url | http://dx.doi.org/10.1155/2020/8887029 |
| work_keys_str_mv | AT zhichuanzhu strongconvergenceontheaggregateconstraintshiftinghomotopymethodforsolvinggeneralnonconvexprogramming AT yeongchengliou strongconvergenceontheaggregateconstraintshiftinghomotopymethodforsolvinggeneralnonconvexprogramming |