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<p>In this paper, we perform a general analysis of stability and well-posedness for a parametric quasivariational inequality problem. Various sufficient conditions ensuring stability, in terms of semicontinuity and closedness of the parametric solution set map are established. Metric characterizations of Levitin–Polyak (LP) well-posedness via approximate solutions sets are also derived. A key result characterizing LP well-posedness in terms of the upper semicontinuity of the approximate solution set has been proved.</p>

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Stability and well-posedness for parametric quasivariational inequality problem

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • Monika Mehta,
  • Guneet Bhatia,
  • Ruchi Kaur

摘要

In this paper, we perform a general analysis of stability and well-posedness for a parametric quasivariational inequality problem. Various sufficient conditions ensuring stability, in terms of semicontinuity and closedness of the parametric solution set map are established. Metric characterizations of Levitin–Polyak (LP) well-posedness via approximate solutions sets are also derived. A key result characterizing LP well-posedness in terms of the upper semicontinuity of the approximate solution set has been proved.