Weak stability and strong duality of a class of nonconvex infinite programs via augmented Lagrangian

作者：Son T Q; Kim D S^*; Tam N N

来源：Journal of Global Optimization, 2012, 53(2): 165-184.

DOI：10.1007/s10898-011-9672-7

• Augmented Lagrangian
• Weak-stability
• Strong duality
• Saddle point

In this paper we deal with weak stability and duality of a class of nonconvex infinite programs via augmented Lagrangian. Firstly, we study a concept of weak-subdifferential of an extended real valued function on a topological linear space. Augmented Lagrangian functions and a concept of weak-stability are constructed. Next, relations between weak-stability and strong duality of problems via augmented Lagrangians are investigated. Applications for convex infinite programs are discussed. Saddle point theorems are established. An illustrative example is given.

• 出版日期2012-6