TY - JOUR
ID - 2498
TI - Existence results for equilibrium problems under strong sign property
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN - 2008-6822
AU - Jafari, Somaye
AU - Farajzadeh, Ali
AD - Department of Mathematics, Razi University, Kermanshah
Y1 - 2017
PY - 2017
VL - 8
IS - 1
SP - 165
EP - 176
KW - metric linear space
KW - equilibrium problem
KW - Minty equilibrium problem
KW - strong upper sign property
DO - 10.22075/ijnaa.2017.2498
N2 - This paper concerns equilibrium problems in real metric linear spaces. Considering a modified notion ofÂ upper sign property for bifunctions, we obtain the relationship between the solution sets of the local Minty equilibrium problem and the equilibrium problem, where the technical conditions on $f$ used in the literature are relaxed. The KKM technique is used to generalize and unify some existence results for the relaxed $\mu$-quasimonotone equilibrium problems in the literature.
UR - https://ijnaa.semnan.ac.ir/article_2498.html
L1 - https://ijnaa.semnan.ac.ir/article_2498_1ac673c544179be70aa77273e99be930.pdf
ER -