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Given $f(x) = \frac1{ax+b}$, for which $a$, $b$ such that $x_1=f(x_3) $, $ x_2=f(x_1) $, $x_3=f(x_2) $ are distinctive

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#algebra-precalculus #functions #rational-functions #fixed-points
27
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The $(i,j)$-entry of the matrix for $g_∗$ will be nonzero iff $g$ takes simplex $i$ to simplex $j$

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#algebraic-topology #homology-cohomology #fixed-point-theorems #fixed-points
138
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Counting the number of fixpoint functions

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#combinatorics #discrete-mathematics #graph-theory #catalan-numbers #fixed-points
78
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Convergence of the Newton's method applied to a problem

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#numerical-methods #fixed-point-theorems #fixed-points
47
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Fixed Points of an action in $\mathbb Q_2^n$ when the action is fixed point free on $\mathbb Z_2^n$

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#group-theory #group-actions #fixed-points
487
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Fixed Point Iteration for the Gradient of Smooth Convex Function

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#numerical-methods #convex-optimization #fixed-point-theorems #numerical-optimization #fixed-points
185
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If $f_n\to f$, $f_n(x_n) = x_n$ and $f(x)=x$, does $x_n\to x$?

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#real-analysis #pointwise-convergence #fixed-points
42
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Simply-connected fixed point sets of smooth group actions on disks

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#algebraic-topology #finite-groups #smooth-manifolds #group-actions #fixed-points
356
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Proof of the Local Convergence Theorem (for fixed points).

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#real-analysis #continuity #fixed-point-theorems #fixed-points
75
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Fixed point sets of (firmly) nonexpansive mappings.

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#hilbert-spaces #lipschitz-functions #fixed-points
310
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Showing existence of a fixed point

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#real-analysis #fixed-points
55
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Möbius: Find the general form

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#complex-analysis #conformal-geometry #mobius-transformation #fixed-points
56
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Fixed-point iteration when image and domain are not the same

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#roots #fixed-point-theorems #fixed-points
278
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number of functions with fixed point from finite set in itself

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#combinatorics #discrete-mathematics #fixed-points
41
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Fixed point question for branches

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#complex-analysis #riemann-surfaces #fixed-points

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