|
|||||
|
|
Existence of augmented Lagrange multipliers for cone constrained optimization problems |
|
| Authors: | Yu Ying Zhou Jin Chuan Zhou Xiao Qi Yang |
| Institution: | 1. Department of Mathematics, Soochow University, Suzhou, 215006, China 2. Department of Mathematics, School of Science, Shandong University of Technology, Zibo, 255049, China 3. Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China |
| Abstract: | In this paper, by using an augmented Lagrangian approach, we obtain several sufficient conditions for the existence of augmented Lagrange multipliers of a cone constrained optimization problem in Banach spaces, where the corresponding augmenting function is assumed to have a valley at zero. Furthermore, we deal with the relationship of saddle points, augmented Lagrange multipliers, and zero duality gap property between the cone constrained optimization problem and its augmented Lagrangian dual problem. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |