1 votes 1 votes Any continuous function from the open unit interval $(0, 1)$ to itself has a fixed point. Calculus tifrmaths2011 continuity + – makhdoom ghaya asked Dec 9, 2015 makhdoom ghaya 576 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
2 votes 2 votes No. Take the function that takes $x \mapsto x^2$ . It doesn't have any fixed piont on (0,1) seetal samal answered Nov 25, 2019 seetal samal comment Share Follow See all 0 reply Please log in or register to add a comment.