Stability in vector-valued and set-valued optimization

X. X. Huang

Mathematical Methods of Operations Research, 2000, vol. 52, issue 2, 185-193

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 (E n ,f n ) (resp. (E n , F n )) 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 in Section 5 in [1]. Copyright Springer-Verlag Berlin Heidelberg 2000

Keywords: Key words: Convergence of set sequence; Mosco convergence; Painlevé-Kuratowski convergence; cone extremization; stabililty (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:spr:mathme:v:52:y:2000:i:2:p:185-193

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DOI: 10.1007/s001860000085

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