Fritz John second-order duality for nonlinear programming

Authors
Husain, I Rueda, NG Jabeen, Z
Citation
I. Husain et al., Fritz John second-order duality for nonlinear programming, APPL MATH L, 14(4), 2001, pp. 513-518
Citations number
6
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
14
Issue
4
Year of publication
2001
Pages
513 - 518
Database
ISI
SICI code
0893-9659(200105)14:4<513:FJSDFN>2.0.ZU;2-Y
Abstract
A second-order dual to a nonlinear programming problem is formulated. This dual uses the Fritz John necessary optimality conditions instead of the Kar ush-Kuhn-Tucker necessary optimality conditions, and thus, does not require a constraint qualification. Weak, strong, strict-converse, and converse du ality theorems between primal and dual problems are established. (C) 2001 E lsevier Science Ltd. All rights reserved.