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Journal of Inequalities and Applications
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Levitin-Polyak Well-Posedness for Equilibrium Problems with Functional Constraints

Journal of Inequalities and Applications volume 2008, Article number: 657329 (2007) Cite this article

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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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, China

    XianJun Long & Nan-Jing Huang

  2. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Chengdu, 610500, China

    Nan-Jing Huang

  3. Department of Mathematics and Statistics, Curtin University of Technology, Perth, W.A., 6102, Australia

    Kok Lay Teo

Authors
  1. XianJun Long
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  2. Nan-Jing Huang
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  3. Kok Lay Teo
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Correspondence to Nan-Jing Huang.

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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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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

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