Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators

Abstract

Abstract The aim of present work is to study some kinds of well-posedness for a class of generalized variational-hemivariational inequality problems involving set-valued operators. Some systematic approaches are presented to establish some equivalence theorems between several classes of well-posedness for the inequality problems and some corresponding metric characterizations, which generalize many known results. Finally, the well-posedness for a class of generalized mixed equilibrium problems is also considered.

Keywords

• Generalized variational-hemivariational inequality
• Set-valued operator
• α-well-posedness
• Monotonicity