Volume 35 • Number 1 • 2012   • Strong Vector Equilibrium Problems on Noncompact Sets San-Hua Wang, Qiu-Ying Li and Jun-Yi Fu Abstract. In this paper, by using the famous Brouwer fixed point theorem, some existence theorems of strong efficient solutions for the strong vector equilibrium problems are obtained on noncompact sets of general real Hausdorff topological vector spaces without assuming that the dual of the ordering cone has a weak${}^*$ compact base. Moreover, the closeness and the convexity of the strong efficient solution sets are discussed. 2010 Mathematics Subject Classification: 47J20, 49J40, 90C30. Full text: PDF