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2018 On the well-posedness of differential mixed quasi-variational-inequalities
Zhenhai Liu, Dumitru Motreanu, Shengda Zeng
Topol. Methods Nonlinear Anal. 51(1): 135-150 (2018). DOI: 10.12775/TMNA.2017.041

Abstract

We discuss the well-posedness and the well-posedness in the generalized sense of differential mixed quasi-variational inequalities ((DMQVIs), for short) in Hilbert spaces. This gives us an outlook to the convergence analysis of approximating sequences of solutions for (DMQVIs). Using these concepts we point out the relation between metric characterizations and well-posedness of (DMQVIs). We also prove that the solution set of (DMQVIs) is compact, if problem (DMQVIs) is well-posed in the generalized sense.

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Zhenhai Liu. Dumitru Motreanu. Shengda Zeng. "On the well-posedness of differential mixed quasi-variational-inequalities." Topol. Methods Nonlinear Anal. 51 (1) 135 - 150, 2018. https://doi.org/10.12775/TMNA.2017.041

Information

Published: 2018
First available in Project Euclid: 18 January 2018

MathSciNet: MR3784740
zbMATH: 06887976
Digital Object Identifier: 10.12775/TMNA.2017.041

Rights: Copyright © 2018 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.51 • No. 1 • 2018
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