The Ultimate Matching Theorem in Dimension ≥3

Author(s):  
Michel Talagrand
Keyword(s):  
1998 ◽  
Vol 74 (2) ◽  
pp. 291-301 ◽  
Author(s):  
Shuhong Gao ◽  
Beth Novick ◽  
Ke Qiu

2013 ◽  
Vol 734-737 ◽  
pp. 2867-2870
Author(s):  
Kai Ting Wen ◽  
He Rui Li

In this paper, a matching theorem for weakly transfer compactly open valued mappings is established in GFC-spaces. As applications, a fixed point theorem, a minimax inequality and a saddle point theorem are obtained in GFC-spaces. Our results unify, improve and generalize some known results in recent reference.


2014 ◽  
Vol 556-562 ◽  
pp. 4128-4132
Author(s):  
Kai Ting Wen ◽  
He Rui Li

In this paper, the GFC-KKM mapping is introduced and a GFC-KKM theorem is established in GFC-spaces. As applications, a matching theorem and a maximal element theorem are obtained. Our results unify, improve and generalize some known results in recent reference. Finally, an equilibrium existence theorem for systems of general quasiequilibrium problems is yielded in GFC-spaces.


1970 ◽  
Vol 8 (1) ◽  
pp. 104-114 ◽  
Author(s):  
D. Kleitman ◽  
A. Martin-Löf ◽  
B. Rothschild ◽  
A. Whinston
Keyword(s):  

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