Nonlinear programming problems associated with closed range operators
type: Item
instance of: scholarly article
title: Nonlinear programming problems associated with closed range operators
zbMATH Open document ID: 0942.49024
published in: Applied Mathematics and Optimization
publication date: 2000-08-21T00:00:00Z
review text: Necessary conditions of optimality associated with a locally Lipschitz cost functional are given in terms of generalized gradients. The characterization of the tangent cone to the set of constraints is presented. Some examples and potential applications to nonlinear programming models and nonlinear optimal control of partial differential equations are also discussed.
reviewed by: Ruxandra Stavre
Mathematics Subject Classification ID: 49K27
Mathematics Subject Classification ID: 49K30
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 47A62
Mathematics Subject Classification ID: 47J05
Mathematics Subject Classification ID: 49J52
zbMATH DE Number: 1340510
zbMATH Keywords: optimality conditions
zbMATH Keywords: closed range operators
zbMATH Keywords: Clarke's generalized gradients
zbMATH Keywords: wave operator
zbMATH Keywords: tangent cone
zbMATH Keywords: nonlinear programming
author: Sergiu Aizicovici
author: Dumitru Motreanu
author: N. H. Pavel
MaRDI profile type: Publication
full work available at URL: s002459900123
OpenAlex ID: W2013809620
Wikidata QID: Q127753776
DOI: 10.1007/S002459900123
description: scientific article; zbMATH DE number 1340510