Abstract
In this paper we use the penalty approach in order to study constrained minimization problems in a complete metric space with locally Lipschitzian mixed constraints. A penalty function is said to have the exact penalty property if there is a penalty coefficient for which a solution of an unconstrained penalized problem is a solution of the corresponding constrained problem. In this paper we establish sufficient conditions for the exact penalty property.
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Zaslavski, A.J. Existence of Exact Penalty for Constrained Optimization Problems in Metric Spaces. Set-Valued Anal 15, 223–237 (2007). https://doi.org/10.1007/s11228-006-0024-6
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DOI: https://doi.org/10.1007/s11228-006-0024-6
Key words
- Clarke’s generalized gradient
- complete metric space
- Ekeland’s variational principle
- minimization problem
- penalty function