Document Type : Research Paper

Authors

• Sirous Moradi ¹
• Maryam Shokouhnia ²
• Somaye Jafari ³

¹ Arak University

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

³ Department of Mathematics, Arak University, Arak, Iran

Abstract

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.

Keywords

• locally segment-dense set
• vector equilibrium problem
• C-sequentially sign property