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Generalized Well‐Posedness for Symmetric Vector Quasi‐Equilibrium Problems

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  • Wei-bing Zhang
  • Nan-jing Huang
  • Donal O’Regan

Abstract

We introduce and study well‐posedness in connection with the symmetric vector quasi‐equilibrium problem, which unifies its Hadamard and Levitin‐Polyak well‐posedness. Using the nonlinear scalarization function, we give some sufficient conditions to guarantee the existence of well‐posedness for the symmetric vector quasi‐equilibrium problem.

Suggested Citation

  • Wei-bing Zhang & Nan-jing Huang & Donal O’Regan, 2015. "Generalized Well‐Posedness for Symmetric Vector Quasi‐Equilibrium Problems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnljam:v:2015:y:2015:i:1:n:108357
    DOI: 10.1155/2015/108357
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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.
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