Abstract.
In this paper, we extend the concept of cone-convexlikeness of single-valued maps to set-valued maps and study super efficiency in cone-convexlike vector optimization with set-valued maps. Under the assumption of the cone-convexlikeness, some characterizations of super efficiency are established in terms of the scalarization, Lagrange multipliers and super duality, respectively.
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Revised version received November 1997
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Rong, W., Wu, Y. Characterizations of super efficiency in cone-convexlike vector optimization with set-valued maps. Mathematical Methods of OR 48, 247–258 (1998). https://doi.org/10.1007/s001860050026
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DOI: https://doi.org/10.1007/s001860050026