Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization
Monica Bianchi, G. Kassay, Rita Pini · Journal of Global Optimization · 2021
Abstract 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.