Existence results for common solution of equilibrium and vector equilibrium problems

Document Type : Research Paper


1 Department of Mathematics, Faculty of Science, Lorestan University, 68151-4-4316, Khorramabad, Iran

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



In this paper, by using the notion of locally segment-dense subsets and sequentially sign property for bifunctions, we establish existence results for a common solution of a finite family of equilibrium problems in the setting of Hausdorff locally convex topological vector spaces. Also similar results
obtain for vector equilibrium problems.