Nonlinear Functional Analysis and Applications

The Basic Sciences Research Institute, Kyungnam University (경남대학교 기초과학연구소)
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ERROR BOUNDS FOR NONLINEAR MIXED VARIATIONAL-HEMIVARIATIONAL INEQUALITY PROBLEMS

  • A. A. H. Ahmadini (Department of Mathematics, Jazan University) ;
  • Salahuddin (Department of Mathematics, Jazan University) ;
  • J. K. Kim (Department of Mathematics Education, Kyungnam University)
  • Received : 2023.04.12
  • Accepted : 2023.09.18
  • Published : 2024.03.15
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Abstract

In this article, we considered a class of nonlinear variational hemivariational inequality problems and investigated a gap function and regularized gap function for the problems. We discussed the global error bounds for such inequalities in terms of gap function and regularized gap functions by utilizing the Clarke generalized gradient, relaxed monotonicity, and relaxed Lipschitz continuous mappings. Finally, as applications, we addressed an application to non-stationary non-smooth semi-permeability problems.

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References

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