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.

Bianchi, M., Kassay, G., Pini, R., Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization, <<JOURNAL OF GLOBAL OPTIMIZATION>>, N/A; 2021 (N/A): N/A-N/A. [doi:10.1007/s10898-021-01088-x] [http://hdl.handle.net/10807/184030]

Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization

Bianchi, M.;
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.
Inglese
Bianchi, M., Kassay, G., Pini, R., Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization, <<JOURNAL OF GLOBAL OPTIMIZATION>>, N/A; 2021 (N/A): N/A-N/A. [doi:10.1007/s10898-021-01088-x] [http://hdl.handle.net/10807/184030]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/184030
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