Existence results for -quasimonotone equilibrium problems in convex metric spaces. (4th March 2017)

• Record Type: Journal Article
• Authors: Jafari, S.; Farajzadeh, A. P.; Moradi, S.; Khanh, P. Q.
• Is Part Of: Optimization. Volume 66:Number 3(2017)
• Page Start: 293
• Page End: 310
• Publication Date: 2017-03-04
• Subjects: Convex metric space -- equilibrium problem -- -quasimonotone -- strong -sign property; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2016.1274989
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract: This paper deals with equilibrium problems in the setting of metric spaces with a continuous convex structure. We extend Fan's 1984 KKM theorem to convex metric spaces in order to employ some weak coercivity conditions to establish existence results for suitable local Minty equilibrium problems, where the involved bifunctions are -quasimonotone. By an approach which is based on the concept of the strong -sign property for bifunctions, we obtain existence results for equilibrium problems which generalize some results in the literature.