Second-order necessary conditions of the Kuhn-Tucker type under new constraint qualifications
type: Item
instance of: scholarly article
title: Second-order necessary conditions of the Kuhn-Tucker type under new constraint qualifications
zbMATH Open document ID: 0621.90074
DOI: 10.1007/BF00938539
author: B. George
published in: Journal of Optimization Theory and Applications
publication date: 1988-01-01T00:00:00Z
review text: We are concerned with a nonlinear programming problem with equality and inequality constraints. We shall give second-order necessary conditions of the Kuhn-Tucker type and prove that the conditions hold under new constraint qualifications. The constraint qualifications are weaker than those given by \textit{A. Ben-Tal} [ibid. 31, 143-165 (1980; Zbl 0416.90062)].
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 49K99
zbMATH DE Number: 4008121
zbMATH Keywords: equality and inequality constraints
zbMATH Keywords: second-order necessary conditions
zbMATH Keywords: constraint qualifications
zbMATH Keywords: critical directions
MaRDI profile type: Publication
cites work: Second-order and related extremality conditions in nonlinear programming
cites work: Constraint Qualifications Revisited
cites work: A Necessary and Sufficient Qualification for Constrained Optimization
cites work: Foundations of optimization
cites work: Q3902815
cites work: Q4194725
description: scientific article; zbMATH DE number 4008121