Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems |
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Authors: | A. Ben-Tal J. Zowe |
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Affiliation: | (1) Faculty of Industrial Engineering and Management, Technion-Israel Institute of Technology, Haifa, Israel;(2) Department of Mathematics, University of Bayreuth, 8580 Bayreuth, Germany |
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Abstract: | The purpose of this paper is to derive, in a unified way, second order necessary and sufficient optimality criteria, for four types of nonsmooth minimization problems: thediscrete minimax problem, thediscrete l1-approximation, the minimization of theexact penalty function and the minimization of theclassical exterior penalty function. Our results correct and supplement conditions obtained by various authors in recent papers. |
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Keywords: | Necessary and Sufficient Second Order Conditions Nonsmooth Optimization Minimax Problem l1-Approximation Penalty Functions Directional Derivatives |
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