Proper efficiency in a linear fractional vector maximum problem with generalized convex constraints
type: Item
instance of: scholarly article
title: Proper efficiency in a linear fractional vector maximum problem with generalized convex constraints
zbMATH Open document ID: 0654.90085
DOI: 10.1016/0377-2217(88)90126-9
author: S. H. Smith
published in: European Journal of Operational Research
publication date: 1988-01-01T00:00:00Z
review text: A vector maximum problem with fractional objectives and quasi-convex, differentiable constraints is considered. Using the Kuhn-Tucker theory necessary and sufficient conditions for an efficient solution are obtained if the Kuhn-Tucker constraint qualification or the Arrow- Hurwicz-Uzawa constraint qualification hold. Also it is proven that under a certain boundedness assumption an efficient point is properly efficient.
Mathematics Subject Classification ID: 90C31
zbMATH DE Number: 4068639
zbMATH Keywords: vector maximum problem
zbMATH Keywords: fractional objectives
zbMATH Keywords: quasi-convex, differentiable constraints
zbMATH Keywords: efficient solution
zbMATH Keywords: Kuhn-Tucker constraint qualification
reviewed by: Horst Hollatz
MaRDI profile type: Publication
full work available at URL: 0377-2217(88)90126-9
OpenAlex ID: W2061284281
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description: scientific article; zbMATH DE number 4068639