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Generalized Levitin-Polyak Well-Posedness of Vector Equilibrium Problems

Abstract

We study generalized Levitin-Polyak well-posedness of vector equilibrium problems with functional constraints as well as an abstract set constraint. We will introduce several types of generalized Levitin-Polyak well-posedness of vector equilibrium problems and give various criteria and characterizations for these types of generalized Levitin-Polyak well-posedness.

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Correspondence to Lai-Jun Zhao.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Peng, JW., Wang, Y. & Zhao, LJ. Generalized Levitin-Polyak Well-Posedness of Vector Equilibrium Problems. Fixed Point Theory Appl 2009, 684304 (2009). https://doi.org/10.1155/2009/684304

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  • DOI: https://doi.org/10.1155/2009/684304

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