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Well‐Posedness of Generalized Vector Quasivariational Inequality Problems

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  • Jian-Wen Peng
  • Fang Liu

Abstract

We introduce several types of the Levitin‐Polyak well‐posedness for a generalized vector quasivariational inequality problem with both abstract set constraints and functional constraints. Criteria and characterizations of these types of the Levitin‐Polyak well‐posednesses with or without gap functions of generalized vector quasivariational inequality problem are given. The results in this paper unify, generalize, and extend some known results in the literature.

Suggested Citation

  • Jian-Wen Peng & Fang Liu, 2012. "Well‐Posedness of Generalized Vector Quasivariational Inequality Problems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:582792
    DOI: 10.1155/2012/582792
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    References listed on IDEAS

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    1. Werner Oettli & Dirk Schläger, 1998. "Existence of equilibria for monotone multivalued mappings," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 48(2), pages 219-228, November.
    2. K. L. Lin & D. P. Yang & J. C. Yao, 1997. "Generalized Vector Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 92(1), pages 117-125, January.
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