On nondifferentiable second order symmetric duality in mathematical programming
type: Item
instance of: scholarly article
title: On nondifferentiable second order symmetric duality in mathematical programming
zbMATH Open document ID: 1070.90105
author: Xianqiang Yang
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2005-03-07T00:00:00Z
review text: This article discusses issues of duality in non-differentiable, nonlinear mathematical programs. In nonlinear systems, the dual of the dual is not necessarily the primal problem, and when this property is true then the formulation is called symmetric. The authors study in detail non-differentiable second order symmetric duality under the Wolfe type \(\eta\)-bonvexity/boncavity. The paper begins with a series of Theorems and useful propositions that are proven in full. In section 4 duality in minimax mixed integer programming models is discussed. The paper concludes with a note on self duality (when a mathematical program is identical to its dual), and a small number of references.
reviewed by: Efstratios Rappos
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 90C47
Mathematics Subject Classification ID: 90C11
zbMATH DE Number: 2141235
zbMATH Keywords: nonlinear programming
zbMATH Keywords: symmetric duality
zbMATH Keywords: bonvexity/boncavity
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2141235