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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, Hindawi, vol. 2012, pages 1-13, May.
    • Handle: RePEc:hin:jnlaaa:157532
    DOI: 10.1155/2012/157532
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