Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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GAP FUNCTIONS AND ERROR BOUNDS FOR GENERAL SET-VALUED NONLINEAR VARIATIONAL-HEMIVARIATIONAL INEQUALITIES

  • Jong Kyu Kim (Department of Mathematics Education, Kyungnam University) ;
  • A. A. H. Ahmadini (Department of Mathematics, Jazan University) ;
  • Salahuddin (Department of Mathematics, Jazan University)
  • Received : 2023.06.15
  • Accepted : 2024.03.06
  • Published : 2024.09.15
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Abstract

The objective of this article is to study the general set-valued nonlinear variational-hemivariational inequalities and investigate the gap function, regularized gap function and Moreau-Yosida type regularized gap functions for the general set-valued nonlinear variational-hemivariational inequalities, and also discuss the error bounds for such inequalities using the characteristic of the Clarke generalized gradient, locally Lipschitz continuity, inverse strong monotonicity and Hausdorff Lipschitz continuous mappings.

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References

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