Abstract
In this paper, we introduce concepts of well-posedness, and well-posedness in the generalized sense, for mixed quasivariational-like inequalities where the underlying map is multivalued. We give necessary and sufficient conditions for the various kinds of well-posedness to occur. Our results generalize and strengthen previously found results for variational and quasivariational inequalities.
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Part of this research was done while the second and the third authors were visiting the Department of Applied Mathematics, National Sun-Yat-Sen University. The authors wish to thank the Department for its hospitality.
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Ceng, L.C., Hadjisavvas, N., Schaible, S. et al. Well-Posedness for Mixed Quasivariational-Like Inequalities. J Optim Theory Appl 139, 109–125 (2008). https://doi.org/10.1007/s10957-008-9428-9
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DOI: https://doi.org/10.1007/s10957-008-9428-9