On Higher-Order Sensitivity Analysis of Parametric Henig Set-Valued Equilibrium Problems

Abstract

In the article, we discuss sensitivity analysis of a parametric Henig set-valued equilibrium problem. In detail, relationships between the higher-order contingent derivative of the solution map of this problem and those of objective and constraint maps are established. Finally, applications to parametric set-valued optimization problems are given.

Keywords:

• Sensitivity analysis
• equilibrium problem
• contingent derivative
• Henig efficient point
• set-valued map

2010 Mathematics Subject Classification:

• 46G05
• 49Q12
• 54C60
• 90C31

Acknowledgments

This research was supported by the National Foundation for Science and Technology Development of Vietnam (NAFOSTED) under grant number 101.01-2017.25. The author is grateful to anonymous referees for their valuable comments to improve our manuscript.