Stability results for Ekeland's ε variational principle for vector valued functions

G. Y. Chen and X. X. Huang

Mathematical Methods of Operations Research, 1998, vol. 48, issue 1, 97-103

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. Copyright Springer-Verlag Berlin Heidelberg 1998

Keywords: Key words: Ekeland's ε-variational principle; Convergence of a sequence of sets; Stability of variational principle for vector valued functions. (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:spr:mathme:v:48:y:1998:i:1:p:97-103

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DOI: 10.1007/s001860050014

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