caa a22 4500 463168976 CHVBK 20180406164807.0 cr unu---uuuuu 170326e20070501xx s 000 0 eng 10.1007/s10957-007-9174-4 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9174-4 Existence Results for Set-Valued Vector Quasiequilibrium Problems [Elektronische Daten] [P. Sach, L. Tuan] This paper deals with the set-valued vector quasiequilibrium problem of finding a point (z 0,x 0) of a set E×K such that (z 0,x 0)∈B(z 0,x 0)×A(z 0,x 0), and, for all η∈A(z 0,x 0), $$(F(z_{0},x_{0},\eta),C(z_{0},x_{0},\eta))\in\alpha,$$ where α is a subset of 2 Y ×2 Y and A:E×K→2 K ,B:E×K→2 E ,F:E×K×K→2 Y , C:E×K×K→2 Y are set-valued maps, with Y is a topological vector space. Two existence theorems are proven under different assumptions. Correct results of [Hou, S.H., Yu, H., Chen, G.Y.: J. Optim. Theory Appl. 119, 485-498 (2003)] are obtained from a special case of one of these theorems. Springer Science+Business Media, LLC, 2007 Vector quasiequilibrium problems nationallicence Set-valued maps nationallicence Existence theorems nationallicence Diagonal quasiconvexity nationallicence Sach P. Institute of Mathematics, Hanoi, Vietnam aut Tuan L. Ninh Thuan College of Pedagogy, Ninh Thuan, Vietnam aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/2(2007-05-01), 229-240 0022-3239 133:2<229 2007 133 10957 https://doi.org/10.1007/s10957-007-9174-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9174-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sach P. Institute of Mathematics, Hanoi, Vietnam aut NATIONALLICENCE 700 1- Tuan L. Ninh Thuan College of Pedagogy, Ninh Thuan, Vietnam 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), 229-240 0022-3239 133:2<229 2007 133 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer