caa a22 4500 463168933 CHVBK 20180406164807.0 cr unu---uuuuu 170326e20070501xx s 000 0 eng 10.1007/s10957-007-9202-4 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9202-4 Gap Functions and Existence of Solutions for a System of Vector Equilibrium Problems [Elektronische Daten] [N. Huang, J. Li, J. Yao] In this paper, a gap function for a system of vector equilibrium problems is introduced and studied. Some necessary and sufficient conditions for the system of vector equilibrium problems are established. Characterizations of the solutions set for the system of vector equilibrium problems are also derived. Furthermore, some existence results of solutions for the system of vector equilibrium problems are proved. Springer Science+Business Media, LLC, 2007 Systems of vector equilibrium problems nationallicence Gap functions nationallicence Convex cones nationallicence Point-to-set mappings nationallicence Huang N. Department of Mathematics, Sichuan University, Chengdu, Sichuan, People's Republic of China aut Li J. Department of Mathematics, China West Normal University, Nanchong, Sichuan, People's Republic of China aut Yao J. Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/2(2007-05-01), 201-212 0022-3239 133:2<201 2007 133 10957 https://doi.org/10.1007/s10957-007-9202-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9202-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Huang N. Department of Mathematics, Sichuan University, Chengdu, Sichuan, People's Republic of China aut NATIONALLICENCE 700 1- Li J. Department of Mathematics, China West Normal University, Nanchong, Sichuan, People's Republic of China aut NATIONALLICENCE 700 1- Yao J. Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan 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), 201-212 0022-3239 133:2<201 2007 133 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer