Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization

Monica Bianchi, G. Kassay, R. Pini

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)N/A-N/A
JournalJournal of Global Optimization
Publication statusPublished - 2021


  • Brezis pseudomonotonicity
  • Coercivity conditions
  • Quasi equilibrium problem
  • Regularized penalty method
  • Set-valued quasi variational inequality


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