%0 Journal Article
%T New results on systems of generalized vector quasi-equilibrium problems
%A Monica Patriche
%J Mathematics
%D 2013
%I arXiv
%X In this paper, we firstly prove the existence of the equilibrium for the generalized abstract economy. We apply these results to show the existence of solutions for systems of vector quasi-equilibrium problems with multivalued trifunctions. Secondly, we consider the generalized strong vector quasi-equilibrium problems and study the existence of their solutions in the case when the correspondences are weakly naturally quasi-concave or weakly biconvex and also in the case of weak-continuity assumptions. In all situations, fixed-point theorems are used.
%U http://arxiv.org/abs/1306.6492v2