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Characterizations of super efficiency in cone-convexlike vector optimization with set-valued maps. (English) Zbl 0930.90078
Summary: 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.
MSC:
90C29Multi-objective programming; goal programming