New posts in lipschitz-functions

Every 1-Lipschitz function in the closed unit ball has a fixed point

metric-spaces lipschitz-functions banach-fixed-point

Every convex function is locally Lipschitz ($\mathbb{R^n}$)

multivariable-calculus convex-analysis lipschitz-functions

Lipschitz space-filling maps

real-analysis geometric-measure-theory lipschitz-functions

Find a Lipschitz constant w.r.t. $y$ of $f(x,y) = \sin(xy)$

lipschitz-functions

The image of every strictly non-expanding map between spheres is contained in an open hemisphere?

geometry lipschitz-functions convex-geometry convex-hulls contraction-operator

Proving that, $|f'(x)-f'(y)|\le k|x-y| \implies (f'(x))^2< 2 kf(x) $

calculus real-analysis analysis functions lipschitz-functions

Is the dot product on $\mathbf{R}^n$ ($n\ge 2$) Lipschitz?

multivariable-calculus inner-products lipschitz-functions

$f(x)=x^2$ is not Lipschitz?

calculus real-analysis uniform-continuity lipschitz-functions

Machine Learning: Is the softmax function Lipschitz with Lipschitz constant $1$?

real-analysis proof-verification convex-optimization machine-learning lipschitz-functions

Lipschitz implies bounded gradient

convex-analysis lipschitz-functions

Bounded derivative implies Lipschitz

calculus real-analysis lipschitz-functions

Given a continous real function, it is almost globally Lipschitz:

real-analysis inequality continuity lipschitz-functions

$f \in C^1$ defined on a compact set $K$ is Lipschitz?

real-analysis derivatives lipschitz-functions

If $f$ is locally Lipschitz on $X$ and $X$ is compact, then $f$ is Lipschitz on $X$.

general-topology metric-spaces lipschitz-functions

Given sequence of $L-$Lipschitz functions which converges pointwise, prove uniform convergence

real-analysis proof-writing uniform-convergence lipschitz-functions sequence-of-function

How to show square root of absolute of x, $\sqrt{|x|}$, is not Lipschitz continuous?

continuity uniform-continuity lipschitz-functions

How to show that the natural logarithm is Lipschitz on $[\beta, \infty)$

calculus real-analysis logarithms lipschitz-functions

Smallest constant of Lipschitz retraction from bounded to continuous functions

functional-analysis banach-spaces lipschitz-functions

Proving single solution to an initial value problem

ordinary-differential-equations lipschitz-functions initial-value-problems

Lipschitz-constant gradient implies bounded eigenvalues on Hessian

convex-analysis lipschitz-functions