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2011, 1(3): 495-508. doi: 10.3934/naco.2011.1.495

## A unified nonlinear augmented Lagrangian approach for nonconvex vector optimization

 1 College of Mathematics and Statistics, Chongqing University, Chongqing, 401331

Received  April 2011 Revised  July 2011 Published  September 2011

In this paper, we propose a unified nonlinear augmented Lagrangian dual approach for a nonconvex vector optimization problem by applying a class of vector-valued nonlinear augmented Lagrangian penalty functions. We establish weak and strong duality results, necessary and sufficient conditions for uniformly exact penalization and exact penalization in the framework of nonlinear augmented Lagrangian.
Citation: Chunrong Chen. A unified nonlinear augmented Lagrangian approach for nonconvex vector optimization. Numerical Algebra, Control & Optimization, 2011, 1 (3) : 495-508. doi: 10.3934/naco.2011.1.495
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##### References:
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