Some cohomological aspects of the Banach fixed point principle

Title:

Some cohomological aspects of the Banach fixed point principle

Creator:

Janoš, Ludvík

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:6f933726-81ec-4f37-b38d-4d0d0f46b0e3
uuid:6f933726-81ec-4f37-b38d-4d0d0f46b0e3
doi:10.21136/MB.2011.141653

Subject:

Banach contraction, cohomology, cocycle, coboundary, separating family, and core

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Let T : X → X be a continuous selfmap of a compact metrizable space X. We prove the equivalence of the following two statements: (1) The mapping T is a Banach contraction relative to some compatible metric on X. (2) There is a countable point separating family F ⊂ C(X) of non-negative functions f ∈ C(X) such that for every f ∈ F there is g ∈ C(X) with f = g − g ◦ T.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

333-336

Source:

Mathematica bohemica | 2011 Volume:136 | Number:3

Harvested from:

CDK

Metadata only:

false