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Nonconvex vector optimization of set-valued mappings. (English) Zbl 1137.90642
Summary: We discuss properties, such as monotonicity and continuity, of the Gerstewitz’s nonconvex separation functional. With the aid of this functional, necessary and sufficient optimality conditions for nonconvex optimization problems of set-valued mappings are obtained in topological vector spaces.
MSC:
90C26Nonconvex programming, global optimization
49J53Set-valued and variational analysis