Extended Generalized Vector Equilibrium Problems

摘要

Abstract In this paper, we consider an extended generalized weak vector equilibrium problem and an extended generalized strong vector equilibrium problem in the Hausdorff topological vector spaces. An existence result is proved for extended generalized weak vector equilibrium problem and an existence result is proved for extended generalized strong vector equilibrium problem by using KKM theory. The problems discussed in this paper are new and include many previously studied problems. Some examples are given.