ϵ-properly efficient solutions to nondifferentiable multiobjective programming problems

We introduce the concept of an ϵ-properly efficient solution and establish the equivalence between ϵ-optimality for a convex multiobjective program and ϵ-optimality for a related parametric (scalar) objective program. Using this equivalence, we establish the necessary and sufficient conditions for a...

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Vydáno v:	Applied mathematics letters Ročník 12; číslo 6; s. 109 - 113
Hlavní autor:	Liu, Jen-Chwan
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier Ltd 01.08.1999
Témata:	ϵ-efficient ϵ-properly efficient ϵ-efficient ϵ-properly efficient
ISSN:	0893-9659, 1873-5452
On-line přístup:	Získat plný text
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Popis
Shrnutí:	We introduce the concept of an ϵ-properly efficient solution and establish the equivalence between ϵ-optimality for a convex multiobjective program and ϵ-optimality for a related parametric (scalar) objective program. Using this equivalence, we establish the necessary and sufficient conditions for an ϵ-properly efficient solution of a nondifferentiable multiobjective objective functions subject to nondifferentiable convex inequality constraints, linear equality constraints, and abstract constraints.
ISSN:	0893-9659 1873-5452
DOI:	10.1016/S0893-9659(99)00087-7