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...

Full description

Saved in:

Bibliographic Details
Published in:	Applied mathematics letters Vol. 12; no. 6; pp. 109 - 113
Main Author:	Liu, Jen-Chwan
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.08.1999
Subjects:	ϵ-efficient ϵ-properly efficient ϵ-efficient ϵ-properly efficient
ISSN:	0893-9659, 1873-5452
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	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