Abstract
We generalize the notions of Levitin-Polyak well-posedness to an equilibrium problem with both abstract and functional constraints. We introduce several types of (generalized) Levitin-Polyak well-posedness. Some metric characterizations and sufficient conditions for these types of well-posedness are obtained. Some relations among these types of well-posedness are also established under some suitable conditions.
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Long, X., Huang, NJ. & Teo, K.L. Levitin-Polyak Well-Posedness for Equilibrium Problems with Functional Constraints. J Inequal Appl 2008, 657329 (2007). https://doi.org/10.1155/2008/657329
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DOI: https://doi.org/10.1155/2008/657329