Strong Vector Equilibrium Problems on Noncompact Sets

Malaysian Mathematical, San-hua Wang, Qiuying Li, FU Jun-yi · 2012

In this paper, by using the famous Brouwer xed point theorem, some existence theorems of strong ecient solutions for the strong vector equi- librium problems are obtained on noncompact sets of general real Hausdor 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 ecient solution sets are discussed.

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