Hausdorff continuity of approximate solution maps to parametric primal and dual equilibrium problems

Lam Quoc Anh ^[1] ; Tran Ngoc Tam ^[1]
1. [1] Can Tho University
  
  Can Tho University
  
  Vietnam
Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 24, Nº. 1, 2016, págs. 242-258
Idioma: inglés
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Resumen
- In this paper, we consider parametric primal and dual equilibrium problems in locally convex Hausdorff topological vector spaces. Sufficient conditions for the approximate solution maps to be Hausdorff continuous are established. We provide many examples to illustrate the essentialness of the imposed assumptions. As applications of these results, the Hausdorff continuity of the approximate solution maps for optimization problems, variational inequalities and fixed-point problems are derived.