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On Higher-Order Sensitivity Analysis of Parametric Henig Set-Valued Equilibrium Problems
Authors:Nguyen Le Hoang Anh
Affiliation:1. Department of Optimization and System Theory, University of Science, Vietnam National University Hochiminh City, Hochiminh City, Vietnamnlhanh@hcmus.edu.vn
Abstract: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
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