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A Relaxation Approach to Vector-Valued Allen–Cahn MPEC Problems

Author:
Farshbaf-Shaker   M. Hassan  


Journal:
Applied Mathematics & Optimization


Issue Date:
2015


Abstract(summary):

In this paper we consider a vector-valued Allen–Cahn MPEC problem. To derive optimality conditions we exploit a regularization–relaxation technique. The optimality system of the regularized–relaxed subproblems are investigated by applying the classical result of Zowe and Kurcyusz. Finally we show that the stationary points of the regularized–relaxed subproblems converge to weak stationary points of the limit problem.


Page:
325-351


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