caa a22 4500 463169409 CHVBK 20180406164809.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s10957-007-9211-3 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9211-3 Qiu J. Department of Mathematics, Suzhou University, Suzhou, Jiangsu, People's Republic of China aut Superefficiency in Local Convex Spaces [Elektronische Daten] [J. Qiu] In the framework of normed spaces, Borwein and Zhuang introduced superefficiency and gave its concise dual form when the underlying decision problem is convex. In this paper, we consider four different generalizations of the Borwein and Zhuang superefficiency in locally convex spaces and give their concise dual forms for convex vector optimization. When the ordering cone has a base, we clarify the relationship between Henig efficiency and the various kinds of superefficiency. Finally, we show that whether the four kinds of superefficiency are equivalent to each other depends on the normability of the underlying locally convex spaces. Springer Science+Business Media, LLC, 2007 Locally convex spaces nationallicence Efficiency nationallicence Superefficiency nationallicence Henig efficiency nationallicence Dual forms nationallicence Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/1(2007-10-01), 19-35 0022-3239 135:1<19 2007 135 10957 https://doi.org/10.1007/s10957-007-9211-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9211-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Qiu J. Department of Mathematics, Suzhou University, Suzhou, Jiangsu, People's Republic of China aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/1(2007-10-01), 19-35 0022-3239 135:1<19 2007 135 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer