Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems
- Cite this article as:
- Ben-Tal, A. & Zowe, J. Mathematical Programming (1982) 24: 70. doi:10.1007/BF01585095
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.