OAI/Analysis/Nonexpansive/Model.lean
3 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.ReflexiveFixedPoints.CanonicallyReflexiveline 14Source documentation
Surjectivity of the canonical map into the continuous bidual.
Also declared: ComparatorChallenges/ReflexiveFixedPoints.lean:14 (same declaration text).
def CanonicallyReflexive : Prop := …
- def
OAI.ReflexiveFixedPoints.NonexpansiveOnline 20Source documentation
Nonexpansiveness is measured in the original ambient norm.
def NonexpansiveOn (C : Set X) (F : C → C) : Prop := …
- def
OAI.ReflexiveFixedPoints.HasNonexpansiveFixedPointPropertyline 25Source documentation
Every nonexpansive selfmap of every nonempty closed bounded convex set has a fixed point, in the norm already carried by
X.def HasNonexpansiveFixedPointProperty (X : Type u) [NormedAddCommGroup X] [NormedSpace ℝ X] : Prop := …