A sufficient condition for exact penalty functions |
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Authors: | Alexander J Zaslavski |
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Institution: | (1) Department of Mathematics, The Technion-Israel Institute of Technology, 32000 Haifa, Israel |
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Abstract: | In this paper, we use the penalty approach for constrained minimization problems in infinite dimensional Banach spaces. 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. We establish a simple sufficient condition for exact
penalty property for two large classes of constrained minimization problems. |
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Keywords: | Approximate solution Clarke’ s generalized gradient Critical point Ekeland’ s variational principle Minimization problem Penalty function |
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