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 l 1-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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Ben-Tal, A., Zowe, J. Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems. Mathematical Programming 24, 70–91 (1982). https://doi.org/10.1007/BF01585095
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DOI: https://doi.org/10.1007/BF01585095