Second-order duality for nonlinear programming
type: Item
instance of: scholarly article
title: Second-order duality for nonlinear programming
zbMATH Open document ID: 1176.90636
author: Xianqiang Yang
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2005-03-07T00:00:00Z
review text: The authors start with definitions of two notions, namely a sublinear and a second-order \(F\)-pseudoconvex functional. They formulate the problem of minimization of \(f(x)\) under the constraints that \(x\in C_1\), \(g(x)\in C^*_2\), where \(C_1\), \(C_2\) are closed cones, with \(C^*_2\) standing for the polar cone to \(C_2\). Next, they examine four second-order dual models, proving four weak duality results, as well as one strong duality theorem. Finally, they show how to obtain strict converse duality theorems for the four second-order dual models.
reviewed by: Leszek S. Zaremba
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 2141238
zbMATH Keywords: nonlinear programming
zbMATH Keywords: second-order \(F\)-convexity
zbMATH Keywords: dual model
zbMATH Keywords: second-order dual model
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2141238