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<p>In this article, we establish the Levitin-Polyak well-posedness for regularized inverse variational-hemivariational inequality <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\((IVHVI_{\xi })\)</EquationSource> </InlineEquation> problem and obtain the equivalence between the well-posedness of <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\((IVHVI_{\xi })\)</EquationSource> </InlineEquation> and inverse inclusion problems (IIP) in Banach space. We also obtain the relationship between the solutions of inverse variational-hemivariational inequality problems and other various types of variational inequality problems.</p>

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Well-posedness of inverse variational-hemivariational inequality problems

  • 期刊论文

  • 发表日期：

    2026年2月2日

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  • Dheerendra Singh,
  • Shashi Kant Mishra

摘要

In this article, we establish the Levitin-Polyak well-posedness for regularized inverse variational-hemivariational inequality \((IVHVI_{\xi })\) problem and obtain the equivalence between the well-posedness of \((IVHVI_{\xi })\) and inverse inclusion problems (IIP) in Banach space. We also obtain the relationship between the solutions of inverse variational-hemivariational inequality problems and other various types of variational inequality problems.