query: Fixed Point Property of $(0,1]$
positive_passages.docid: 148266
positive_passages.text: Let $f:X\to X $ be continuous. Does $f $ have a fixed point when $X=[0,1)$ or $X=(0,1) $?
negative_passages.docid: 100740
negative_passages.text: proof of that a continuous function has a fixed point
negative_passages.docid: 43907
negative_passages.text: Contraction mapping in the context of $f(x_n)=x_{n+1}$.
negative_passages.docid: 69283
negative_passages.text: The limit points of an open interval (open set)
negative_passages.docid: 61446
negative_passages.text: Fixed point of interior of closed disk
negative_passages.docid: 149390
negative_passages.text: Fixed point of a Function (monotonically increasing)
negative_passages.docid: 18222
negative_passages.text: Set of continuity points of a real function
negative_passages.docid: 59717
negative_passages.text: Generalization of Banach's fixed point theorem
negative_passages.docid: 65522
negative_passages.text: The wedge sum of two circles has fixed point property?
negative_passages.docid: 93606
negative_passages.text: Showing that $C[0,1]$ is not complete
negative_passages.docid: 107727
negative_passages.text: $m\{x\in [0,1]:f'(x)=0\}>0$
negative_passages.docid: 107072
negative_passages.text: Schwarz's Lemma, fixed points question
negative_passages.docid: 83046
negative_passages.text: A linear map, continuous at zero, is bounded
negative_passages.docid: 89462
negative_passages.text: Convergence of the fixed point iteration for sin(x)
negative_passages.docid: 95783
negative_passages.text: Fixed points of contractions in metric spaces
negative_passages.docid: 8799
negative_passages.text: Mapping homotopic to the identity map has a fixed point
negative_passages.docid: 156850
negative_passages.text: Fix-Point Theorem Proof.