Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170401Existence results for equilibrium problems under strong sign property165176249810.22075/ijnaa.2017.2498ENSomayeJafariDepartment of Mathematics, Razi University, KermanshahAliFarajzadehDepartment of Mathematics, Razi University, KermanshahJournal Article20150704This 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.https://ijnaa.semnan.ac.ir/article_2498_1ac673c544179be70aa77273e99be930.pdf