Stability in vector-valued and set-valued optimization

Stability in vector-valued and set-valued optimization

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Article ID: iaor20013640
Country: Germany
Volume: 52
Issue: 2
Start Page Number: 185
End Page Number: 193
Publication Date: Jan 2000
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors:
Abstract:

In this paper, we discuss the stability of the sets of efficient points of vector-valued and set-valued optimization problems when the data (En, fn) (resp. (En, Fn)) of the approximate problems converge to the data (E, f) (resp. (E, F)) of the original problem in the sense of Painleve–Kuratowski or Mosco. Our results improve and generalize those obtained by Attouch and Riahi.

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