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Existence and Well‐Posedness for Symmetric Vector Quasi‐Equilibrium Problems

Author

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  • Kaihong Wang
  • Wenyan Zhang
  • Min Fang

Abstract

An existence result for the solution set of symmetric vector quasi‐equilibrium problems that allows for discontinuities is obtained. Moreover, sufficient conditions for the generalized Levitin‐Polyak well‐posedness of symmetric vector quasi‐equilibrium problems are established.

Suggested Citation

  • Kaihong Wang & Wenyan Zhang & Min Fang, 2014. "Existence and Well‐Posedness for Symmetric Vector Quasi‐Equilibrium Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:750709
    DOI: 10.1155/2014/750709
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    References listed on IDEAS

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    1. S. Li & M. Li, 2009. "Levitin–Polyak well-posedness of vector equilibrium problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 69(1), pages 125-140, March.
    2. S. Li & K. Teo & X. Yang, 2005. "Generalized vector quasi-equilibrium problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 61(3), pages 385-397, July.
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