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Nguyen Minh Tung, Tran Minh Bang, Nguyen Van Hoi, Higher-order differential sensitivity for weak vector variational inequalities in terms of tangent derivatives

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DOI: 10.23952/jnva.9.2025.6.07

Volume 9, Issue 6, 1 December 2025, Pages 947-969

 

Abstract. This paper is devoted to the study of differential sensitivity analysis for weak vector variational inequalities in terms of the higher-order tangent derivatives, which were introduced by J.P. Penot in 2017. We first provide some calculus rules for these derivatives such as composition rule and sum rule, and we obtain some formulas for the tangent derivative of the profile mapping. Then, they are employed to investigate the differential sensitivity for the vector variational inequality problem with the help of gap functions. Several examples are given to illustrate the obtained results.

 

How to Cite this Article:
N.M. Tung, T.M. Bang, N.V. Hoi, Higher-order differential sensitivity for weak vector variational inequalities in terms of tangent derivatives, J. Nonlinear Var. Anal. 9 (2025), 947-969.