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.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|