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

Samir Adly ()
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Samir Adly: Université de Limoges

Journal of Optimization Theory and Applications, 2019, vol. 180, issue 1, No 6, 62-90

Abstract: Abstract 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.

Keywords: Limiting (Mordukhovich) coderivative; Parametric variational inequalities; Parametric hemivariational inequalities; Parametric generalized equation; Aubin property; Lipschitzian stability; 49J53; 49K40; 90C31; 47H04; 58C20 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-018-1293-6

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