Let 
and 
be a complete CAT(
) space whose diameter smaller than 
. It is shown that if 
is a nonempty compact convex subset of 
then is the closed convex hull of its set of extreme points. This is an extension of the Krein-Milman theorem to the general setting of CAT() spaces.
On the Krein-Milman theorem in CAT(k) spaces
Panyanak, Bancha
Abstract
carpathian_2018_34_3_401_404_abstractFull PDF
carpathian_2018_34_3_401_404Additional Information
| Author(s) | Panyanak, B. |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2018.03.15 |
Recently posted
-
The approximate solution of the general split variational inequality problem by intermixed iteration
-
Collectively coincidence results for lower semicontinuous multifunctions in locally convex spaces
-
Second-order necessary conditions for bilevel programs via KKT reformulation
-
An inertial method for solving the split equality fixed point problem with multiple output sets
-
Asymptotic modeling of non-linear viscopiezoelectric Kelvin-Voigt type plates via Trotter theory
-
Properties of isocompact spaces in topological groups
-
Two generalized cyclic projection algorithms for solving a class of the split feasibility problem in real Hilbert spaces
-
Global-fixed-point property of gyrogroup actions
-
On simple normal structure and best proximity points in reflexive Banach space
-
Unified Convergence Analysis of Certain At Least Fifth Order Methods