Second-Order Necessary Conditions for Nonlinear Optimization Problems with Abstract Constraints: The Degenerate Case

In this paper we derive second-order necessary conditions for optimality for an optimization problem with abstract constraints in Banach spaces. Results for the nondegenerate case derived earlier [H. Gfrerer, SIAM J. Control Optim., 45 (2006), pp. 972-997] are extended to the degenerate case. For th...

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Bibliographic Details
Published in:SIAM journal on optimization Vol. 18; no. 2; pp. 589 - 612
Main Author: Gfrerer, Helmut
Format: Journal Article
Language:English
Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2007
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ISSN:1052-6234, 1095-7189
Online Access:Get full text
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