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

Thanatporn bantaojai, Tran Quoc Duy

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 examplesareprovidedtoillustrateourresults. Applicationstovectoroptimization problem and vector variational inequalities are also discussed.