Existence results for equilibrium problems under strong sign property | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 14، دوره 8، شماره 1، 2017، صفحه 165-176 اصل مقاله (380.93 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.2498 | ||
| نویسندگان | ||
| Somaye Jafari؛ Ali Farajzadeh* | ||
| Department of Mathematics, Razi University, Kermanshah | ||
| چکیده | ||
| This paper concerns equilibrium problems in real metric linear spaces. Considering a modified notion of 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. | ||
| کلیدواژهها | ||
| metric linear space؛ equilibrium problem؛ Minty equilibrium problem؛ strong upper sign property | ||
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