Algebraic approach to duality in optimization and applications
type: Item
instance of: scholarly article
title: Algebraic approach to duality in optimization and applications
zbMATH Open document ID: 1479.90217
author: Dinh The Luc
author: M. Volle
published in: Set-Valued and Variational Analysis
publication date: 2021-08-19T00:00:00Z
review text: This work makes considerations of duality of optimization problems in a vector space without a topological structure. A strong duality relation is established by means of algebraic subdifferentials and algebraic conjugate functions. Without the lower semicontinuity or quasicontinuity hypothesis on perturbation functions, and by a purely algebraic approach, certain topological duality relations are obtained. Applications of the obtained results are given for the sum of two convex functions, monotropic problems and infinite convex or linear problems. Finally, algebraic constraint qualification for problems with countably infinitely many inequality constraints, are also obtained.
reviewed by: K. C. Sivakumar
Mathematics Subject Classification ID: 90C48
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 90C25
Mathematics Subject Classification ID: 52A41
zbMATH DE Number: 7383625
zbMATH Keywords: duality
zbMATH Keywords: constraint qualification
zbMATH Keywords: infinite convex problem
zbMATH Keywords: monotropic problem
MaRDI profile type: Publication
full work available at URL: s11228-021-00596-y
OpenAlex ID: W3196698545
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DOI: 10.1007/S11228-021-00596-Y
description: scientific article; zbMATH DE number 7383625