Does $(0,1]$ have Fixed-point property? I can't wrap my head around any examples of continous map $f:(0,1]\rightarrow(0,1]$ that doesn't have fixed point.
2026-03-27 14:10:35.1774620635
Fixed Point Property of $(0,1]$
118 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in FIXED-POINT-THEOREMS
- Newton's method with no real roots
- Determine $ \ a_{\max} \ $ and $ \ a_{\min} \ $ so that the above difference equation is well-defined.
- Banach and Caristi fixed point theorems
- Show that $\Phi$ is a contraction with a maximum norm.
- Using Fixed point iteration to find sum of a Serias
- Map a closed function $f: (1,4) \rightarrow (1,4)$ without fixed point
- Stop criterium for fixed point methods
- Approximate solutions to nonlinear differential equations using an integral sequence
- Inverse function theorem via degree theory
- Fixed point of a map $\mathbb R^n \rightarrow \mathbb R^n$
Related Questions in FIXED-POINTS
- Banach and Caristi fixed point theorems
- Using Fixed point iteration to find sum of a Serias
- Do chaos and/or limit cycles always require the existence of an unstable fixed point?
- Dynamical System is fixed point at origin hyperbolic or asymptotically stable and is the system Hamiltonian
- What type of bifurcation point is this?
- Finding an eigenvector (fixed point) of a linear system of equations
- Only closed homoclinic orbits?
- Is this mapping contractive?
- Fixed points of absolute set difference
- Convergence rate of Newton's method (Modified+Linear)
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
$f:(0,1] \to (0,1]$ defined by $f(x) = \frac{1}{2}x$ has no fixed point.