Existence of solutions of systems of generalized implicit vector quasi-equilibrium problems

摘要

We consider five different types of systems of generalized vector quasi-equilibrium problems and establish relationships among them by using different kinds of generalized pseudomonotonicities. We prove the existence of their solutions under lower semicontinuity for a family of multivalued maps involved in the formulation of these problems. The existence of solutions of these problems is also investigated without any coercivity condition but for Phi-condensing maps. We also establish some existence results for solutions of these problems under pseudomonotonicities in the setting of Hausdorff topological vector spaces as well as real Banach spaces. (C) 2007 Elsevier Inc. All rights reserved.