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Continuity of the Solution Mappings to Primal and Dual Vector Equilibrium Problems

Authors: 

Thanatporn Bantaojai and Tran Quoc Duy

Source title: 
Thai Journal of Mathematics, 90-102, 2019 (Scopus)
Academic year of acceptance: 
2018-2019
Abstract: 

In this paper, we consider strong forms of the primal and dual vector equilibrium problems in Hausdorff topological vector spaces. Under suitable assumptions, some continuity properties of solution mappings to such problems are established. Themainsresultsimproverecentexistingonesintheliterature. Some examples are provided to illustrate our results. Applicationstovectoroptimization problem and vector variational inequalities are also discussed.