In this paper we investigate quasi equilibrium problems in a real Banach space under the assumption of Brezis pseudomonotonicity of the function involved. To establish existence results under weak coercivity conditions we replace the quasi equilibrium problem with a sequence of penalized usual equilibrium problems. To deal with the non compact framework, we apply a regularized version of the penalty method. The particular case of set-valued quasi variational inequalities is also considered.
- Brezis pseudomonotonicity
- Coercivity conditions
- Quasi equilibrium problem
- Regularized penalty method
- Set-valued quasi variational inequality