A Relaxation Approach to Vector-Valued Allen–Cahn MPEC Problems
Journal Article
·
· Applied Mathematics and Optimization
- Weierstrass Institute for Applied Analysis and Stochastics (Germany)
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.
- OSTI ID:
- 22469785
- Journal Information:
- Applied Mathematics and Optimization, Vol. 72, Issue 2; Other Information: Copyright (c) 2015 Springer Science+Business Media New York; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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