List questions from banach-fixed-point | MathQa

Extension of Lipschitz Continuous Operators on arbitrary sets in Hilbert Spaces

Published on 13 Apr 2025 - 8:31

Show that $f(x) :=\cos(\cos(x))$ is a contraction mapping. Find the fixed point.

Published on 13 Apr 2025 - 6:05

Proof: Contraction Mapping and Cauchy Sequence

Published on 18 Apr 2025 - 20:24

Prove there is no contraction mapping from compact metric space onto itself

Published on 13 Apr 2025 - 6:21

Degree of infinite dimensinal antipodal map

Published on 19 Apr 2025 - 0:14

Generalized Fixed Point Theorem

Published on 07 Apr 2025 - 9:08

Establish the sufficient condition $|g'(x)| < 1$ for convergence of an iteration using the Banach fixed point theorem?

Published on 13 Apr 2025 - 14:26

Contractive Operators on Compact Spaces

Published on 06 Apr 2025 - 3:45

Given a map $T(x) = 2 \sin(x)$, find the fixed point on $[\pi/2,\pi]$

Published on 13 Apr 2025 - 4:57

Lipschitz condition proof

Published on 05 Apr 2025 - 7:20