On some variational inequality-constrained control problems

Abstract

Abstract In this paper, by considering some properties associated with scalar functionals of multiple-integral type, we study the well-posedness and generalized well-posedness for a new variational inequality-constrained optimization problems By using the set of approximating solutions, we state some characterization theorems on well-posedness and generalized well-posedness. Also, in order to validate the derived results, some examples are given.

Keywords

• Well-posedness
• Control problem
• Monotonicity
• Hemicontinuity