Global Minimum (or absolute minimum)


Given x ∈ Rn

x is minimum global if
∀ y ∈ Rn ∩ S => f(x) ≤ f(y)
Note1: Similarly we can define the strict global minimum if the inequality we substitute f(y) < f(x).
Note2: Similarly we define the maximum Global if we substitute the less-equal to greater-equal.