Abstract.
In this paper, under the assumption that the nonconvex vector valued function f satisfies some lower semicontinuity property and bounded below, the nonconvex vector valued function sequence f n satisfies the same lower semicontinuity property and uniformly bounded below, and f n converges to f in the generalized sense of Mosco, we obtain the relation: , when , where when , C is the pointed closed convex dominating cone with nonempty interior int C, e∈int C. Under some conditions, we also prove the same result when f n converges to f in the generalized sense of Painleve'-Kuratowski.
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Received October 1996/Revised version May 1997
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Chen, G., Huang, X. Stability results for Ekeland's ε variational principle for vector valued functions. Mathematical Methods of OR 48, 97–103 (1998). https://doi.org/10.1007/s001860050014
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DOI: https://doi.org/10.1007/s001860050014