$f:D\rightarrow S^1$ is a continuous then $\exists x\in S^1$ such that $f(x)=x$?
$f:S^1\rightarrow S^1$ then same as 1 holdd?
$f:E\rightarrow E$ then same as 1 hold? $E=\{(x,y):2x^2+3y^2\le 1\}$
by Fixed point Theorem I know 2,3 are correct, what about 1?