First-order and second-order optimality conditions for nonsmooth constrained problems via convolution smoothing

This article mainly concerns deriving first-order and second-order necessary (and partly sufficient) optimality conditions for a general class of constrained optimization problems via smoothing regularization procedures based on infimal-like convolutions/envelopes. In this way, we obtain first-order...

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Bibliographic Details
Published in:	Optimization Vol. 60; no. 1-2; pp. 253 - 275
Main Authors:	Eberhard, Andrew C., Mordukhovich, Boris S.
Format:	Journal Article
Language:	English
Published:	Philadelphia Taylor & Francis Group 01.01.2011 Taylor & Francis LLC
Subjects:	constrained optimization Constraints Construction Convolution Derivatives Differential equations Envelopes first-order and second-order optimality conditions generalized differentiation Mathematical problems Optimization Optimization algorithms Regularization Smoothing Studies variational analysis
ISSN:	0233-1934, 1029-4945
Online Access:	Get full text
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