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Nonconvex Differential Variational Inequality and State-Dependent Sweeping Process

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Abstract

We prove the existence of solutions of a differential variational inequality involving a prox-regular set in an infinite dimensional Hilbert space via a new existence result of a non-convex state-dependent sweeping process.

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Acknowledgements

The author would like to thank the editor and the anonymous referees for their valuable comments and suggestions.

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Correspondence to Tahar Haddad.

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Communicated by Jean-Pierre Crouzeix.

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Haddad, T. Nonconvex Differential Variational Inequality and State-Dependent Sweeping Process. J Optim Theory Appl 159, 386–398 (2013). https://doi.org/10.1007/s10957-013-0353-1

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  • DOI: https://doi.org/10.1007/s10957-013-0353-1

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