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

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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.

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  1. Laboratoire XLIM UMR-CNRS 7252, Université de Limoges, 123, avenue Albert Thomas, 87 060, Limoges, France

    Samir Adly

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  1. Samir Adly
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Adly, S. A Coderivative Approach to the Robust Stability of Composite Parametric Variational Systems: Applications in Nonsmooth Mechanics. J Optim Theory Appl 180, 62–90 (2019). https://doi.org/10.1007/s10957-018-1293-6

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  • DOI: https://doi.org/10.1007/s10957-018-1293-6

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