Strong vector equilibrium problems on noncompact sets
The present paper deals with a class of set-valued strong vector equilibrium problems. The main authors' purpose is to discuss the existence of strong efficient solutions and to study the properties of the strong efficient solution sets without assuming that the dual cone \(C^*\) of the ordering cone \(C\) has a weak\(^*\) compact base. In the case of noncompact sets of general real Hausdorff topological vector spaces, there are obtained some existence theorems by using the Brouwer fixed point theorem. Moreover, the closeness and the convexity of the strong efficient solution sets are discussed.
scientific article; zbMATH DE number 6000390