TY - JOUR
T1 - The finite intersection property for equilibrium problems
AU - Cotrina, John
AU - Svensson, Anton
N1 - Publisher Copyright:
© 2020, Springer Science+Business Media, LLC, part of Springer Nature.
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2021/4
Y1 - 2021/4
N2 - The “finite intersection property” for bifunctions is introduced and its relationship with generalized monotonicity properties is studied. Some characterizations are considered involving the Minty equilibrium problem. Also, some results concerning existence of equilibria and quasi-equilibria are established recovering several results in the literature. Furthermore, we give an existence result for generalized Nash equilibrium problems and variational inequality problems.
AB - The “finite intersection property” for bifunctions is introduced and its relationship with generalized monotonicity properties is studied. Some characterizations are considered involving the Minty equilibrium problem. Also, some results concerning existence of equilibria and quasi-equilibria are established recovering several results in the literature. Furthermore, we give an existence result for generalized Nash equilibrium problems and variational inequality problems.
KW - Finite intersection property
KW - Generalized monotonicity
KW - Generalized Nash equilibrium problem
KW - Quasi-equilibrium problem
KW - Set-valued map
KW - Variational inequality
UR - http://www.scopus.com/inward/record.url?scp=85094125990&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/3a748a77-99d8-3d09-a681-5745661c3b1a/
U2 - 10.1007/s10898-020-00961-5
DO - 10.1007/s10898-020-00961-5
M3 - Article in a journal
AN - SCOPUS:85094125990
SN - 0925-5001
VL - 79
SP - 941
EP - 957
JO - Journal of Global Optimization
JF - Journal of Global Optimization
IS - 4
ER -