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. (2022). Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization. JOURNAL OF GLOBAL OPTIMIZATION, 82(3), 483-498 [10.1007/s10898-021-01088-x].

Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization

Pini R.
2022

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.
Articolo in rivista - Articolo scientifico
Brezis pseudomonotonicity; Coercivity conditions; Quasi equilibrium problem; Regularized penalty method; Set-valued quasi variational inequality;
English
483
498
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Bianchi, M., Kassay, G., Pini, R. (2022). Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization. JOURNAL OF GLOBAL OPTIMIZATION, 82(3), 483-498 [10.1007/s10898-021-01088-x].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/363980
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