Levitin-Polyak Well-Posedness for Equilibrium Problems with Functional Constraints
© Xian Jun Long et al. 2008
Received: 8 November 2007
Accepted: 11 December 2007
Published: 24 December 2007
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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