Optimally Local Dense Conditions for the Existence of Solutions for Vector Equilibrium Problems

Document Type : Research Paper


1 Arak University

2 Department of Mathematics, Faculty of Science, Arak University, Arak, Iran

3 Department of Mathematics, Arak University, Arak, Iran


In this paper, by using C-sequentially sign property for bifunctions, we provide sufficient conditions that ensure the existence of solutions of some vector equilibrium problems in Hausdorff topological vector spaces which ordered by a cone. The conditions which we consider are not imposed on the whole domain of the operators involved, but just on a locally segment-dense subset of the domain.