Some new properties of the Lagrange function and its applications

Fixexd point theory and applications

Do Sang Kim¹  Ta Quang Son² 

[1] Department of Applied Mathematics, Pukyong National University, Busan, Korea;Department of Natural Sciences, Nhatrang College of Education, Nhatrang, Vietnam

关键词: Wolfe-type duality;    Lagrange function;    saddle points;   

DOI  :  10.1186/1687-1812-2012-192

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Using a dual problem in Wolfe type, the Lagrange function of an inequality constrained nonconvex programming problem is proved to be constant not only on its optimal solution set but also on a wider set. In addition, it is also constant on the set of Lagrange multipliers corresponding to solutions of the dual problem. MSC:90C46, 49N15, 49K30.

【 授权许可】

CC BY