Feature whose value is a set of ordered discrete numbers (a vector): suppose that (a^k_i = (x_1,ldotsdots x_n)), (a^k_j = (y_1,y_2,ldots y_n)) (n is the size of vector) are two vector values on the features (a^k), of two agents (i) and (j), respectively.
Let be nonempty subset of and let and be two vector-valued functions from to and.
Let η : X × X → X and ϕ : X × X → Y be two vector-valued mapping.
Let (S :Ctimes Drightrightarrows C) and (T : Ctimes Drightrightarrows D) be two set-valued mappings and (F, G :C times Drightarrow Z) be two vector-valued mappings.
Let T : X × ∨ → 2L X,Y and K : ∧ → 2 X be two set-valued mappings, η : X × X → X and ϕ : X × X → Y be two vector-valued mappings.
Let T : X × ∨ → 2L X,Y be a set-valued mapping with nonempty values, C X X → 2 Y be a set-valued mapping such that, for each x ∈ X, C x) is a pointed closed and convex cone in Y and int C ( x ) ≠ ∅, η : X × X → X and ϕ : X × X → Y be two vector-valued mappings.
Let (λ0, μ0) ∈ ∧ × ∨ be a point, K λ0) be a compact set, T : X × ∨ → 2L X,Y be a set-valued mapping with nonempty values, C X X → 2 Y be a set-valued mapping such that, for each x ∈ X, C x) is a pointed closed and convex cone in Y and int C ( x ) ≠ ∅, η : X × X → X and ϕ :X × X → Y be two vector-valued mappings.
There were three vectors to pursue.
I think there are three vectors they could go down.
Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces.
be two unknown constant vectors.
