A Coderivative Approach to the Robust Stability of Composite Parametric Variational Systems: Applications in Nonsmooth Mechanics

  • Samir AdlyEmail author


The main concern of this paper is to investigate the Lipschitzian-like stability property (namely Aubin property) of the solution map of possibly nonmonotone variational systems with composite superpotentials. Using Mordukhovich coderivative criterion and a second-order subdifferential analysis, we provide simple and verifiable characterizations of this property in terms of the data involved in the problem. Applications are given in nonsmooth mechanics.


Limiting (Mordukhovich) coderivative Parametric variational inequalities Parametric hemivariational inequalities Parametric generalized equation Aubin property Lipschitzian stability 

Mathematics Subject Classification

49J53 49K40 90C31 47H04 58C20 


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Laboratoire XLIM UMR-CNRS 7252Université de LimogesLimogesFrance

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