Invariant graphs of functions for the mean-type mappings

Invariant graphs of functions for the mean-type mappings

Let I be a real interval, J a subinterval of I, p ≥ 2 an integer number, and M1, ... , Mp : Ip → I the continuous means. We consider the problem of invariance of the graphs of functions ϕ : Jp−1 → I with respect to the mean-type mapping M = (M1, ... , Mp). Applying a result on the existence a...

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Bibliographic Details
Main Author: Matkowski Janusz
Format: Article
Language:English
Published: EDP Sciences 2012-08-01
Series:ESAIM: Proceedings and Surveys
Subjects:
mean
mean-type mapping
invariant mean
function of invariant graph
iteration
functional equation
moyenne
application de type moyenne
moyenne invariante
function de graphe invariant
itération
équation fonctionnelle
Online Access:http://dx.doi.org/10.1051/proc/201236017

Internet

http://dx.doi.org/10.1051/proc/201236017

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