can anyone tell me how to prove Brouwer’s Fixed Point Theorem
Hi,thx for your replies.....
da question is :
Let f be a continuous map on R^2, and S a rectangle with vertical sides sL and sR, and horizontal sides sT and sB. Assume that
f (sL) and f (sR) surround sL and sR (in terms of x-coordinates), and
that f (sT) and f (sB) surround sT and sB (in terms of y-coordinates).Show that f has a fixed point in S.