Generalized vector variational inequalities over product sets

Authors
Allevi, E Gnudi, A Konnov, IV
Citation
E. Allevi et al., Generalized vector variational inequalities over product sets, NONLIN ANAL, 47(1), 2001, pp. 573-582
Citations number
14
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
1
Year of publication
2001
Part
1
Pages
573 - 582
Database
ISI
SICI code
0362-546X(200108)47:1<573:GVVIOP>2.0.ZU;2-A
Abstract
In this paper, we consider vector variational inequalities with set-valued mappings over product sets in a topological vector space setting. By employ ing concepts of relative pseudomonotonicity, we establish several existence results for generalized vector variational inequalities and for systems of generalized vector variational inequalities. These results strengthen prev ious existence results which were based on the usual monotonicity type assu mptions.