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α‐Well‐Posedness for Quasivariational Inequality Problems

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  • Jian Wen Peng
  • Jing Tang

Abstract

We introduce and study the concepts of α‐well‐posedness and L‐α‐well‐posedness for quasivariational inequality problems having a unique solution and the concepts of α‐well‐posedness in the generalized sense and L‐α‐well‐posedness in the generalized sense for quasivariational inequality problems having more than one solution. We present some necessary and/or sufficient conditions for the various kinds of well‐posedness to occur. Our results generalize and strengthen previously known results for quasivariational inequality problems.

Suggested Citation

  • Jian Wen Peng & Jing Tang, 2012. "α‐Well‐Posedness for Quasivariational Inequality Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:157532
    DOI: 10.1155/2012/157532
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    References listed on IDEAS

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    1. Alexander J. Zaslavski, 2010. "Optimization on Metric and Normed Spaces," Springer Optimization and Its Applications, Springer, number 978-0-387-88621-3, April.
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