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- W2149198107 abstract "An ill-posed quasi-variational inequality with contaminated data can be stabilized by employing the elliptic regularization. Under suitable conditions, a sequence of bounded regularized solutions converges strongly to a solution of the original quasi-variational inequality. Moreover, the conditions that ensure the boundedness of regularized solutions, become sufficient solvability conditions. It turns out that the regularization theory is quite strong for quasi-variational inequalities with set-valued monotone maps but restrictive for generalized pseudo-monotone maps. The results are quite general and are applicable to ill-posed variational inequalities, hemi-variational inequalities, inverse problems, and split feasibility problem, among others." @default.
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- W2149198107 date "2015-04-24" @default.
- W2149198107 modified "2023-10-18" @default.
- W2149198107 title "Regularization of quasi-variational inequalities" @default.
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- W2149198107 doi "https://doi.org/10.1080/02331934.2015.1028935" @default.
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