Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2014 (2014), Article ID 630547, 13 pages.
Exact Penalization and Necessary Optimality Conditions for Multiobjective Optimization Problems with Equilibrium Constraints
A calmness condition for a general multiobjective optimization problem with equilibrium constraints is proposed. Some exact penalization properties for two classes of multiobjective penalty problems are established and shown to be equivalent to the calmness condition. Subsequently, a Mordukhovich stationary necessary optimality condition based on the exact penalization results is obtained. Moreover, some applications to a multiobjective optimization problem with complementarity constraints and a multiobjective optimization problem with weak vector variational inequality constraints are given.
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 630547, 13 pages.
First available in Project Euclid: 2 October 2014
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Zhu, Shengkun; Li, Shengjie. Exact Penalization and Necessary Optimality Conditions for Multiobjective Optimization Problems with Equilibrium Constraints. Abstr. Appl. Anal. 2014 (2014), Article ID 630547, 13 pages. doi:10.1155/2014/630547. https://projecteuclid.org/euclid.aaa/1412276997