Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization

M. Bianchi (), G. Kassay () and R. Pini ()
Additional contact information
M. Bianchi: Università Cattolica del Sacro Cuore
G. Kassay: Babes-Bolyai University
R. Pini: Università degli Studi di Milano-Bicocca

Journal of Global Optimization, 2022, vol. 82, issue 3, No 3, 483-498

Abstract: 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.

Keywords: Quasi equilibrium problem; Set-valued quasi variational inequality; Brezis pseudomonotonicity; Regularized penalty method; Coercivity conditions; Primary: 49J53; Secondary: 49J40; 47H05 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10898-021-01088-x Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jglopt:v:82:y:2022:i:3:d:10.1007_s10898-021-01088-x

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/10898

DOI: 10.1007/s10898-021-01088-x

Access Statistics for this article

Journal of Global Optimization is currently edited by Sergiy Butenko

More articles in Journal of Global Optimization from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().