caa a22 4500 463168925 CHVBK 20180406164807.0 cr unu---uuuuu 170326e20070501xx s 000 0 eng 10.1007/s10957-007-9171-7 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9171-7 Some Geometrical Aspects of Efficient Points in Vector Optimization [Elektronische Daten] [X. Zheng, X. Yang, K. Teo] We study efficient point sets in terms of extreme points, positive support points and strongly positive exposed points. In the case when the ordering cone has a bounded base, we prove that the efficient point set of a weakly compact convex set is contained in the closed convex hull of its strongly positive exposed points, thereby extending the Phelps theorem. We study also the density of positive proper efficient point sets. Springer Science+Business Media, LLC, 2007 Efficient points nationallicence Extreme points nationallicence Support points nationallicence Strongly exposed points nationallicence Normed spaces nationallicence Zheng X. Department of Mathematics, Yunnan University, Kunming, China aut Yang X. Department of Mathematics, Chongqing Normal University, Chongqing, China aut Teo K. Department of Mathematics and Statistics, Curtin University of Technology, Perth, Western Australia, Australia aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/2(2007-05-01), 275-288 0022-3239 133:2<275 2007 133 10957 https://doi.org/10.1007/s10957-007-9171-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9171-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zheng X. Department of Mathematics, Yunnan University, Kunming, China aut NATIONALLICENCE 700 1- Yang X. Department of Mathematics, Chongqing Normal University, Chongqing, China aut NATIONALLICENCE 700 1- Teo K. Department of Mathematics and Statistics, Curtin University of Technology, Perth, Western Australia, Australia aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/2(2007-05-01), 275-288 0022-3239 133:2<275 2007 133 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer