About duality and alternative in multi-objective optimization
type: Item
instance of: scholarly article
title: About duality and alternative in multi-objective optimization
zbMATH Open document ID: 0597.90086
DOI: 10.1007/BF00939222
author: Dinh The Luc
published in: Journal of Optimization Theory and Applications
publication date: 1987-01-01T00:00:00Z
review text: McLinden's result on the equivalence between a theorem of the alternative and a duality theorem for constrained optimization problems [see \textit{L. McLinden}, Proc. Amer. Math. Soc. 53, 172-175 (1975; Zbl 0308.90046)] is extended to the multiobjective case. We then discuss some existing results on that topic and present an alternative approach to duality relations in conditionally complete lattices.
Mathematics Subject Classification ID: 90C31
zbMATH DE Number: 3963592
zbMATH Keywords: equivalence
zbMATH Keywords: theorem of the alternative
zbMATH Keywords: duality theorem
zbMATH Keywords: constrained optimization
zbMATH Keywords: conditionally complete lattices
zbMATH Keywords: domination property
MaRDI profile type: Publication
cites work: Duality Theorems and Theorems of the Alternative
cites work: Duality and Alternative in Multiobjective Optimization
cites work: On duality theory in multiobjective programming
cites work: Q4746375
full work available at URL: https://doi.org/10.1007/bf00939222
OpenAlex ID: W2327110234
description: scientific article; zbMATH DE number 3963592