New posts in Lipschitz Functions

Show that $\gamma:[a,b]\rightarrow \mathbb{C}$ has bounded variation iff exists $h:[0,1]\rightarrow [a,b]$ with $\gamma \circ h$ Lipschitz.

Does continous and convex on a closed interval imply Lipschitz?

Distance from a point in a set to a subset of that set is Lipschitz

What is the intuition behind uniform continuity?

How to show $\frac{1}{L}\|\nabla f(y)-\nabla f(x)\|_2^2 \leq \langle \nabla f(y) - \nabla f(x) ,y-x \rangle$ for strongly convex function?

Prove or disprove that there exists $K$ such that $|f(x)-f(y)|\leq K |x-y|,\;\forall\;\;x,y\in[0,1],$ edited version.

Is a Lipschitz function differentiable?

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

$C^1$ function on compact set is Lipschitz

Lipschitz function $f\colon A \to \mathbb{R}$, $A \subseteq \mathbb{R}$ measurable.