Abstract:

Based on the well known KKM type theorem, two new Ky Fan type coincidence theorems were  obtained, and then as the application of the above results, the intersection theorem, the existence theorems of solution for a family of inequalities and the theorems of minimax inequalities were respectively given on generalized convex spaces.

Key words: G-onvex space, KKM map, Γ-onvex subset, Γ-uasiconvex, Γ-uasiconcave