Second-order optimality conditions for \(C^1\) multiobjective programming problems
type: Item
instance of: scholarly article
title: Second-order optimality conditions for \(C^1\) multiobjective programming problems
zbMATH Open document ID: 1027.90079
published in: Acta Mathematica Vietnamica
publication date: 2004-01-14T00:00:00Z
review text: There exist a huge number of papers in which continuously differentiable problems with inequality constraints are stuidied. Quite few publications exist on second order conditions. The purpose if the paper is to establish such conditions for constrained multiobjective programming problems with continuously differentiable data (named \(C^1\) data). In the paper the definition of approximate Jacobian and approximate Hessian is recalled (section 2). Then necessary conditions (section 3) and sufficient conditions (section 4) are formulated and proved. In the example (section 5) it is shown how the recession Hessian matrices cannot be removed when the data of the problem are of class \(C^1\).
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 1799501
zbMATH Keywords: constrained multiobjective programming
zbMATH Keywords: approximate Jacobian
zbMATH Keywords: approximate Hessian
author: Angelo Guerraggio
author: Dinh The Luc
author: Nguyen Ba Minh
reviewed by: Tadeusz Trzaskalik
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1799501