Abstract
The purpose of this paper is to investigate Levitin–Polyak type well-posedness for inverse variational inequalities. We establish some metric characterizations of Levitin–Polyak α-well-posedness by perturbations. Under suitable conditions, we prove that Levitin–Polyak well-posedness by perturbations of an inverse variational inequality is equivalent to the existence and uniqueness of its solution. Moreover, we show that Levitin–Polyak well-posedness by perturbations of an inverse variational inequality is equivalent to Levitin–Polyak well-posedness by perturbations of an enlarged classical variational inequality.
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This work was supported by the National Natural Science Foundation of China (11001187) and the Scientific Research Foundation of CUIT(KYTZ201128).
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Hu, R., Fang, YP. Levitin–Polyak well-posedness by perturbations of inverse variational inequalities. Optim Lett 7, 343–359 (2013). https://doi.org/10.1007/s11590-011-0423-y
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DOI: https://doi.org/10.1007/s11590-011-0423-y