On equivalent stability properties in semi-infinite optimization

On equivalent stability properties in semi-infinite optimization

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Article ID: iaor19961777
Country: Germany
Volume: 41
Issue: 2
Start Page Number: 175
End Page Number: 190
Publication Date: Mar 1995
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors: ,
Keywords: semi-infinite programming
Abstract:

This paper studies noncompact feasible sets of a semi-infinite optimization problem which are defined by finitely many equality constraints and infinitely many inequality constraints. The main result is the equivalence of the overall validity of the Extended Mangasarian Fromovitz Constraint Qualification with certain (topological) stability conditions. Furthermore, two perturbation theorems being of independent interest are presented.

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