A generalization of Fenchel duality theory
type: Item
instance of: scholarly article
title: A generalization of Fenchel duality theory
zbMATH Open document ID: 0568.90092
DOI: 10.1007/BF00941068
author: C. Beoni
published in: Journal of Optimization Theory and Applications
publication date: 1986-01-01T00:00:00Z
review text: This paper deals with an extension of Fenchel duality theory to fractional extremum problems, i.e., problems having a fractional objective function. The main result is obtained by regarding the classic Fenchel theorem as a decomposition property for the extremum of a sum of functions into a sum of extrema of functions, and then by extending it to the case where the addition is replaced by the quotient. This leads to a generalization of the classic concept of conjugate function. Several remarks are made about the conceivable further generalizations to other kinds of decomposition.
Mathematics Subject Classification ID: 90C32
Mathematics Subject Classification ID: 49N15
zbMATH DE Number: 3908191
zbMATH Keywords: theorem of the alternative
zbMATH Keywords: separation theorem
zbMATH Keywords: extension of Fenchel duality theory
zbMATH Keywords: fractional extremum problems
zbMATH Keywords: conjugate function
zbMATH Keywords: decomposition
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3908191