• Journal of the Korean Mathematical Society
• /
• v.36 no.4
• /
• pp.823-823
• /
• 1999

• Journal of the Korean Mathematical Society
• /
• v.36 no.4
• /
• pp.813-828
• /
• 1999

In this paper, we give a Peleg type KKM theorem on G-convex spaces and using this, we obtain a coincidence theorem. First, these results are applied to a whole intersection property, a section property, and an analytic alternative for multimaps. Secondly, these are used to proved existence theorems of equilibrium points in qualitative games with preference correspondences and in n-person games with constraint and preference correspondences for non-paracompact wetting of commodity spaces.