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Connectedness of super efficient sets in vector optimization of set-valued maps

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Abstract.

This paper deals with the super efficient sets in vector optimization of set-valued maps. It is proved that these sets are connected under an assumption of cone-convexlikeness and upper semicontinuity.

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Authors and Affiliations

  1. Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China (e-mail: zfli@iss02.iss.ac.cn; sywang@iss02.iss.ac.cn), , , , , , CN

    Zhong-Fei Li & Shou-Yang Wang

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  1. Zhong-Fei Li
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  2. Shou-Yang Wang
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Revised version received November 1997

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Li, ZF., Wang, SY. Connectedness of super efficient sets in vector optimization of set-valued maps. Mathematical Methods of OR 48, 207–217 (1998). https://doi.org/10.1007/PL00020915

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  • DOI: https://doi.org/10.1007/PL00020915

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