Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization

Author:

Bianchi M.,Kassay G.,Pini R.ORCID

Abstract

AbstractIn 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.

Funder

Università degli Studi di Milano - Bicocca

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization,Computer Science Applications

Reference20 articles.

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