Abstract and Applied Analysis
Volume 2008 (2008), Article ID 968478, 8 pages
doi:10.1155/2008/968478
Existence results for generalized vector equilibrium problems with multivalued mappings via KKM theory
A.P. Farajzadeh1
, A. Amini-Harandi2
and D. O'Regan3
1Department of Mathematics, School of Science, Razi University, P.O. Box 67149-67346, Kermanshah, Iran
2Department of Mathematics, Faculty of Basic Sciences, University of Shahrekord, P.O. Box 88186-34141, Shahrekord, Iran
3Department of Mathematics, College of Arts, Social Sciences, \& Celtic Studies, National University of Ireland, Galway, Ireland
Abstract
We first define upper sign continuity for a set-valued mapping and then we consider two types of generalized vector equilibrium problems in topological vector spaces and provide sufficient conditions under which the solution sets are nonempty and compact. Finally, we give an application of our main results. The paper generalizes and improves results obtained by Fang and Huang in (2005).