If f:[a,b]-->[a,b] is continuous, shwo that f has a fixed point; that is, show that there is some point x in [a,b] with f(x)=x.
I'm really struglling with the continuous functions section with metric space, any help will be appreaciated!
If f:[a,b]-->[a,b] is continuous, shwo that f has a fixed point; that is, show that there is some point x in [a,b] with f(x)=x.
I'm really struglling with the continuous functions section with metric space, any help will be appreaciated!