scholarly journals Extension and Selection theorems in Topological spaces with a generalized convexity structure

1993 ◽  
Vol 2 (2) ◽  
pp. 253-269 ◽  
Author(s):  
Charles D. Horvath
2000 ◽  
Vol 24 (9) ◽  
pp. 595-612 ◽  
Author(s):  
Peter Saveliev

We provide theorems extending both Kakutani and Browder fixed points theorems for multivalued maps on topological vector spaces, as well as some selection theorems. For this purpose we introduce convex structures more general than those of locally convex and non-locally convex topological vector spaces or generalized convexity structures due to Michael, van de Vel, and Horvath.


2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Ji-Cheng Hou

We provide several results on the existence of equilibria for discontinuous games in general topological spaces without any convexity structure. All of the theorems yielding existence of equilibria here are stated in terms of the player’s preference relations over joint strategies.


Sign in / Sign up

Export Citation Format

Share Document