Hi there
I'm studyin' some mathematics fundamentals for optimizations methods of non-linear programming.
I didn't understood the "Closed Mapping" thing, which is defined in my book ( Luenberg ) like this:
I would appreciate any help.A point-to-set mapping A from X to Y is said to be closed at x ∈ X if the assumptions
i) x_k -> x, x_k ∈ X
ii) y_k -> y, y_k ∈ A(x_k)
imply
iii) y ∈ A(x)
The point-to-set map A is said to be closed on X if it is closed at each point of X