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A a set-valued optimization problem minC F(x), x ∈X0, is considered, where X0 ⊂ X, X and Y are normed spaces, F: X0 ⊂ Y is a set-valued function and C ⊂ Y is a closed cone. The solutions of the set-valued problem are defined as pairs (x0,y0), y0 ∈F(x0), and are called minimizers. The notions of w-minimizers (weakly efficient points), p-minimizers (properly efficient points) and i-minimizers...
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