caa a22 4500 463168992 CHVBK 20180406164807.0 cr unu---uuuuu 170326e20070501xx s 000 0 eng 10.1007/s10957-007-9196-y doi (NATIONALLICENCE)springer-10.1007/s10957-007-9196-y Gong X. Department of Mathematics, Nanchang University, 330047, Nanchang, China aut Connectedness of the Solution Sets and Scalarization for Vector Equilibrium Problems [Elektronische Daten] [X. Gong] In this paper, we introduce the concepts of globally efficient solution and cone-Benson efficient solution for a vector equilibrium problem; we give some scalarization results for Henig efficient solution sets, globally efficient solution sets, weak efficient solution sets, and cone-Benson efficient solution sets in locally convex spaces. Using the scalarization results, we show the connectedness and path connectedness of weak efficient solution sets and various proper efficient solution sets of vector equilibrium problem. Springer Science+Business Media, LLC, 2007 Vector equilibrium problems nationallicence Globally efficient solutions nationallicence Cone-Benson efficient solutions nationallicence Scalarization nationallicence Path connectedness nationallicence Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/2(2007-05-01), 151-161 0022-3239 133:2<151 2007 133 10957 https://doi.org/10.1007/s10957-007-9196-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9196-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Gong X. Department of Mathematics, Nanchang University, 330047, Nanchang, China 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), 151-161 0022-3239 133:2<151 2007 133 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer