Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems Authors
Received: 16 December 1980 Revised: 21 August 1981 DOI:
Cite this article as: Ben-Tal, A. & Zowe, J. Mathematical Programming (1982) 24: 70. doi:10.1007/BF01585095 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: the
discrete minimax problem, the discrete l 1-approximation, the minimization of the exact penalty function and the minimization of the classical exterior penalty function. Our results correct and supplement conditions obtained by various authors in recent papers. Key words Necessary and Sufficient Second Order Conditions Nonsmooth Optimization Minimax Problem l 1-Approximation Penalty Functions Directional Derivatives Download to read the full article text References
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© The Mathematical Programming Society, Inc. 1982