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Stability in vector-valued and set-valued optimization

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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].

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China, , , , , , CN

    X. X. Huang

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  1. X. X. Huang
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Manuscript received: May 1999/Final version received: June 2000

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Huang, X. Stability in vector-valued and set-valued optimization. Mathematical Methods of OR 52, 185–193 (2000). https://doi.org/10.1007/s001860000085

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  • DOI: https://doi.org/10.1007/s001860000085

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