On the stability of solution mappings for parametric strong vector quasi-equilibrium problems and application
Abstract
In this article, we revisit parametric strong vector quasi-equilibrium problems. Afterwards, we establish the sufficient conditions for stability properties such as upper semi-continuity, Hausdorff upper semi-continuity, closedness, lower semi-continuity, Hausdorff lower semi-continuity and Hausdorff continuity for solution mappings for these problems. As regards application, we also obtain results on stability such as Hausdorff upper semi-continuity, closedness, Hausdorff lower semi-continuity, and solution Hausdorff continuity for the parametric strong vector quasi-variational inequality problems. The results presented in the article are novel and completely different from existing ones in the related literature.
Moraref