Vali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19365220190112C*-Extreme Points and C*-Faces oF the Epigraph iF C*-Affine Maps in *-Rings21283490610.22072/wala.2018.90202.1184ENAli Ebrahimi MeymandDepartment of Mathematics, Faculty of mathematical sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.Journal Article20180717Abstract. In this paper, we define the notion of C*-affine maps in the<br /> unital *-rings and we investigate the C*-extreme points of the graph<br /> and epigraph of such maps. We show that for a C*-convex map f on a<br /> unital *-ring R satisfying the positive square root axiom with an additional<br /> condition, the graph of f is a C*-face of the epigraph of f. Moreover,<br /> we prove some results about the C*-faces of C*-convex sets in *-rings.<br /> Keywords: C*-affine map, C*-convexity, C*-extreme point, C*-face.<br /> MSC(2010): Primary: 52A01; Secondary: 16W10, 46L89.http://wala.vru.ac.ir/article_34906_0487fcfe738449107469d61b9fb0a584.pdf