Optimization with set-functions described by functions

Constrained optimization problems for set-valued vector objective and constraints are studied, where the multifunctions take convex polyhedra as their values. This allows necessary conditions for an optimum, also sufficient conditions, to be specified in terms of conventional functions

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Bibliographic Details
Published in:Optimization 1997-01, Vol.42 (1), p.39-50
Main Authors: Craven, B.D., Luu, D.V.
Format: Article
Language:English
Subjects:
Optimality
Set-valued functions
Vector functions
Weak set-valued minimum
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Description
Summary:Constrained optimization problems for set-valued vector objective and constraints are studied, where the multifunctions take convex polyhedra as their values. This allows necessary conditions for an optimum, also sufficient conditions, to be specified in terms of conventional functions
ISSN:0233-1934
1029-4945
DOI:10.1080/02331939708844349