List questions from banach-fixed-point | MathQa

Extension of Lipschitz Continuous Operators on arbitrary sets in Hilbert Spaces

Published on 13 Jan 2025 - 4:45

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

Published on 13 Jan 2025 - 4:40

Proof: Contraction Mapping and Cauchy Sequence

Published on 13 Jan 2025 - 4:29

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

Published on 13 Jan 2025 - 4:44

Degree of infinite dimensinal antipodal map

Published on 13 Jan 2025 - 4:25

Generalized Fixed Point Theorem

Published on 12 Jan 2025 - 22:22

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

Published on 13 Jan 2025 - 4:51

Contractive Operators on Compact Spaces

Published on 13 Jan 2025 - 3:09

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

Published on 13 Jan 2025 - 4:35

Lipschitz condition proof

Published on 12 Jan 2025 - 17:51