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Henig globally efficiency for set-valued optimization and vector variational inequality

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Abstract

This paper deals with Henig globally efficiency in vector optimization involving generalized cone-preinvex set-valued mapping. Some properties of generalized cone-preinvex set-valued map are derived. It also disclose the closed relationships between Henig globally efficiency of generalized conepreinvex set-valued optimization problem and Henig globally efficiency of a kind of vector variational inequality.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Beifang University of Nationalities, Yinchuan, 750021, China

    Guolin Yu

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  1. Guolin Yu
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Correspondence to Guolin Yu.

Additional information

This research was supported by the Natural Science Foundation of China under Grant No. 11361001; Ministry of Education Science and technology key projects under Grant No. 212204; the Natural Science Foundation of Ningxia under Grant No. NZ12207; and the Science and Technology key project of Ningxia institutions of higher learning under Grant No. NGY2012092.

This paper was recommended for publication by Editor DAI Yuhong.

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Yu, G. Henig globally efficiency for set-valued optimization and vector variational inequality. J Syst Sci Complex 27, 338–349 (2014). https://doi.org/10.1007/s11424-014-1215-0

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  • DOI: https://doi.org/10.1007/s11424-014-1215-0

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