University of MaraghehSahand Communications in Mathematical Analysis2322-580709120180101A cone theoretic Krein-Milman theorem in semitopological cones1431502475610.22130/scma.2018.24756ENAliHassanzadehDepartment of Mathematics, Sahand University of Technology, Tabriz, Iran.IldarSadeqiDepartment of Mathematics, Sahand University of Technology, Tabriz, Iran.Journal Article20161226In this paper, a Krein-Milman type theorem in $T_0$ semitopological cone is proved, in general. In fact, it is shown that in any locally convex $T_0$ semitopological cone, every convex compact saturated subset is the compact saturated convex hull of its extreme points, which improves the results of Larrecq.http://scma.maragheh.ac.ir/article_24756_68b4ace761054de875c4f7f9863370f7.pdf