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Connectedness of efficient solution sets for set-valued maps in normed spaces

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Abstract

In vector optimization, the topological properties of the set of efficient solutions are of interest. Several authors have studied this topic for point-valued functions. In this paper, we study the connectedness of the efficient solution sets in convex vector optimization for set-valued maps in normed spaces.

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Authors and Affiliations

  1. Department of Mathematics, Nanchang University, Nanchang, China

    X. H. Gong (Associate Professor)

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  1. X. H. Gong
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Communicated by H. P. Benson

The author would like to thank Professor W. T. Fu for helpful discussions concerning Theorem 3.1 and other valuable comments. Moreover, the author is grateful to Professor H. P. Benson and three referees for valuable remarks and suggestions concerning a previous draft of this paper.

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Gong, X.H. Connectedness of efficient solution sets for set-valued maps in normed spaces. J Optim Theory Appl 83, 83–96 (1994). https://doi.org/10.1007/BF02191763

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