Saddle-point type optimality criteria for generalized fractional programming
type: Item
instance of: scholarly article
title: Saddle-point type optimality criteria for generalized fractional programming
zbMATH Open document ID: 0619.90075
DOI: 10.1007/BF00939335
author: B. George
published in: Journal of Optimization Theory and Applications
publication date: 1988-01-01T00:00:00Z
review text: Generally speaking, one cannot expect that there exists a Lagrangian saddle point even for a linear fractional program. Using the functions \(GF(x,r_ 0,r)\) and GK(x,u) somewhat like the Lagrangian functions, we present saddle-point type optimality criteria for generalized fractional programming under carefully selected assumptions. In addition, we point out conditions which ensure that a local optimal solution of the program mentioned is global.
Mathematics Subject Classification ID: 90C32
zbMATH DE Number: 4006003
zbMATH Keywords: saddle-point type optimality criteria
zbMATH Keywords: generalized fractional programming
zbMATH Keywords: local optimal solution
zbMATH Keywords: global optimal solutions
MaRDI profile type: Publication
cites work: An algorithm for generalized fractional programs
cites work: Optimality conditions for fractional minmax programming
cites work: On functions whose local minima are global
cites work: Goal programming and multiple objective optimizations. Part I
cites work: Duality in generalized fractional programming via Farkas' lemma
cites work: Parametric approaches to fractional programs
full work available at URL: https://doi.org/10.1007/bf00939335
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description: scientific article; zbMATH DE number 4006003