Zuo, Mingxia; Shang, Shaoqiang; Cui, Yunan \(k\)-denting points in Banach spaces. (English) Zbl 1201.46014 Far East J. Math. Sci. (FJMS) 40, No. 1, 45-56 (2010). Summary: We introduce the notion of \(k\)-denting points as a generalization of denting points. We discuss its relationship with \(k\)-extreme points, \(H\)-points and \(k\)-strongly exposed points and prove that, if a Banach space \(X\) is reflexive, then \(X\) is \(k\)-strongly convex if and only if every point of \(S(X)\) is a \(k\)-denting point of \(U(X)\). MSC: 46B09 Probabilistic methods in Banach space theory 46B20 Geometry and structure of normed linear spaces Keywords:\(k\)-denting point; \(k\)-strong convexity; Banach space PDFBibTeX XMLCite \textit{M. Zuo} et al., Far East J. Math. Sci. (FJMS) 40, No. 1, 45--56 (2010; Zbl 1201.46014) Full Text: Link