Oct 28, 2024 · This is an example from a text to show that this mapping does not have a fixed point because it is contractive but not a contraction: I am not sure what the difference is …

Is $\sin (\sin... (n))$ a contractive sequence? Ask Question Asked 13 years, 10 months ago Modified 1 year, 5 months ago

Jun 24, 2016 · Prove that a function is contractive Ask Question Asked 9 years, 5 months ago Modified 9 years, 5 months ago

Aug 15, 2019 · Here's the proof which shows that every contractive sequence satisfies the Cauchy criterion, and I don't seem to be convinced with it. My doubts: Why is the fact that the …

Mar 2, 2015 · Contractive condition implies the sequence is Cauchy Ask Question Asked 10 years, 8 months ago Modified 8 years, 3 months ago

Aug 31, 2020 · Geometric proof that projections on convex sets are contractive Ask Question Asked 5 years, 2 months ago Modified 1 year, 7 months ago

Contractive mapping on compact space Ask Question Asked 12 years, 5 months ago Modified 12 years, 5 months ago

Please, could you write down your definition of contractive map? I suspect there are two different ideas of contractivity. You proved that $|f (x)-f (y)|<|x-y|$: is this what you need to prove?

Apr 22, 2020 · Closed 5 years ago. We say that a sequence {xn} of real numbers is contractive if ∃ a constant C > 0, 0 < C < 1, such that |xn+1 − xn| ≤ C|xn − xn−1| for all n ∈ N. Answer the …

Jul 25, 2019 · Reading Brown Ozawa book on C* algebras they seem to imply any contractive unital linear map between C* algebras is positive. Does this hold true? And if so why? I don't …