A characterization of the family of iterated nonexpansive mappings under every renorming
-
Published:2024-03-19
Issue:
Volume:
Page:1-13
-
ISSN:1230-3429
-
Container-title:Topological Methods in Nonlinear Analysis
-
language:
-
Short-container-title:TMNA
Author:
Pérez-García VíctorORCID,
Castillo-Santos Francisco EduardoORCID
Abstract
We characterize the family of iterated nonexpansive mappings that
are stable under every renorming. The family of iterated nonexpansive
mappings contains the family of nonexpansive mappings, it also contains
quasi-nonexpansive and Suzuki's (C)-type mappings with fixed points,
among others. We also give the corresponding characterizations for
quasi-nonexpansive and some Suzuki's (C)-type mappings with fixed points.
Publisher
Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University