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Levitin-Polyak well-posedness of generalized vector quasi-equilibrium problems with functional constraints

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Abstract

In this paper, we introduce several types of Levitin-Polyak well-posedness for a generalized vector quasi-equilibrium problem with functional constraints and abstract set constraints. Criteria and characterizations of these types of Levitin-Polyak well-posedness with or without gap functions of generalized vector quasi-equilibrium problem are given. The results in this paper unify, generalize and extend some known results in the literature.

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Chongqing Normal University, Chongqing, 400047, People’s Republic of China

    Jian-Wen Peng & Yan Wang

  2. Department of Mathematics, National Cheng Kung University, Tainan, 701, Taiwan

    Soon-Yi Wu

Authors
  1. Jian-Wen Peng
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  2. Soon-Yi Wu
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  3. Yan Wang
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Correspondence to Soon-Yi Wu.

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This research was supported by the National Natural Science Foundation of China (Grants 10771228 and 10831009), the Natural Science Foundation of Chongqing (Grant No. CSTC, 2009BB8240), the Research Project of Chongqing Normal University (Grant 08XLZ05).

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Peng, JW., Wu, SY. & Wang, Y. Levitin-Polyak well-posedness of generalized vector quasi-equilibrium problems with functional constraints. J Glob Optim 52, 779–795 (2012). https://doi.org/10.1007/s10898-011-9711-4

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  • DOI: https://doi.org/10.1007/s10898-011-9711-4

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