Optimality conditions for fractional minmax programming
type: Item
instance of: scholarly article
title: Optimality conditions for fractional minmax programming
zbMATH Open document ID: 0568.90095
DOI: 10.1016/0022-247X(84)90090-8
published in: Journal of Mathematical Analysis and Applications
publication date: 1984-01-01T00:00:00Z
review text: Necessary and sufficient conditions are given for the existence of an optimal solution to the fractional minmax programming problem ''Minimize \(F(x)=\sup_{y\in Y}(f(x,y)+(x^ tBx)^{1/2})/h(x,y)\) subject to g(x)\(\leq 0''\), where Y is a compact subset of \(R^ m\), f, g and h are differentiable functions, and \(h(x,y)>0\) for all feasible x, y.
Mathematics Subject Classification ID: 90C32
zbMATH DE Number: 3908194
zbMATH Keywords: optimality conditions
zbMATH Keywords: existence of an optimal solution
zbMATH Keywords: fractional minmax programming
author: Chanchal Singh
reviewed by: Bertram Mond
MaRDI profile type: Publication
cites work: A Note on Duality Theorem for a Nonlinear Programming Problem
cites work: Supports of a convex function
cites work: A class of nondifferentiable mathematical programming problems
cites work: On a constraint qualification in a nondifferentiable programming problem
cites work: Necessary conditions and sufficient conditions for static minmax problems
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description: scientific article; zbMATH DE number 3908194