Characterizations of super efficiency in cone-convexlike vector optimization with set-valued maps

Wei Dong Rong and Yu Nan Wu

Mathematical Methods of Operations Research, 1998, vol. 48, issue 2, 247-258

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. Copyright Springer-Verlag Berlin Heidelberg 1998

Keywords: Key words: Set-valued map; vector optimization; cone-convexlikeness; super efficiency; Lagrange multipliers; super duality. (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:spr:mathme:v:48:y:1998:i:2:p:247-258

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DOI: 10.1007/s001860050026

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