TY - JOUR
T1 - Quasi-equilibrium problems with non-self constraint map
AU - Cotrina, John
AU - Zúñiga, Javier
N1 - Publisher Copyright:
© 2019, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2019/9/1
Y1 - 2019/9/1
N2 - In 2016 Aussel, Sultana and Vetrivel developed the concept of projected solution for Nash equilibria. The purpose of this work is to study the same concept of solution, but for quasi-equilibrium problems. Our results recover several existence theorems for quasi-equilibrium problems in the literature. Additionally, we show the existence of projected solutions for quasi-optimization problems, quasi-variational inequality problems, and generalized Nash equilibrium problems.
AB - In 2016 Aussel, Sultana and Vetrivel developed the concept of projected solution for Nash equilibria. The purpose of this work is to study the same concept of solution, but for quasi-equilibrium problems. Our results recover several existence theorems for quasi-equilibrium problems in the literature. Additionally, we show the existence of projected solutions for quasi-optimization problems, quasi-variational inequality problems, and generalized Nash equilibrium problems.
KW - Generalized Nash equilibrium
KW - Generalized monotonicity
KW - Quasi-equilibrium problem
KW - Quasi-optimization problem
KW - Quasi-variational inequality
KW - Generalized Nash equilibrium
KW - Generalized monotonicity
KW - Quasi-equilibrium problem
KW - Quasi-optimization problem
KW - Quasi-variational inequality
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UR - https://www.mendeley.com/catalogue/33945158-1fc9-373b-baaa-563bafbf9bb9/
U2 - 10.1007/s10898-019-00762-5
DO - 10.1007/s10898-019-00762-5
M3 - Article in a journal
SN - 0925-5001
VL - 75
SP - 177
EP - 197
JO - Journal of Global Optimization
JF - Journal of Global Optimization
IS - 1
ER -