A new approach to constrained optimization via image space analysis

作者：Chinaie M^*; Zafarani J

来源：Positivity, 2016, 20(1): 99-114.

DOI：10.1007/s11117-015-0343-7

• Image space analysis
• Scalarization of vector optimization
• Linear and nonlinear separation
• Saddle point
• Generalized Lagrangian

In this article, by introducing a class of nonlinear separation functions, the image space analysis is employed to investigate a class of constrained optimization problems. Furthermore, the equivalence between the existence of nonlinear separation function and a saddle point condition for a generalized Lagrangian function associated with the given problem is proved.

• 出版日期2016-3