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Existence of Generalized Augmented Lagrange Multipliers for Constrained Optimization Problems
| Content Provider | MDPI |
|---|---|
| Author | Wang, Yue Zhou, Jinchuan Tang, Jingyong |
| Copyright Year | 2020 |
| Description | The augmented Lagrange multiplier as an important concept in duality theory for optimization problems is extended in this paper to generalized augmented Lagrange multipliers by allowing a nonlinear support for the augmented perturbation function. The existence of generalized augmented Lagrange multipliers is established by perturbation analysis. Meanwhile, the relations among generalized augmented Lagrange multipliers, saddle points, and zero duality gap property are developed. |
| Starting Page | 24 |
| e-ISSN | 22978747 |
| DOI | 10.3390/mca25020024 |
| Journal | Mathematical and Computational Applications |
| Issue Number | 2 |
| Volume Number | 25 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2020-04-24 |
| Access Restriction | Open |
| Subject Keyword | Mathematical and Computational Applications Operations Research and Management Science Generalized Augmented Lagrange Multipliers Saddle Points Duality Theory |
| Content Type | Text |
| Resource Type | Article |
