scholarly journals A Ky Fan Minimax Inequality for Quasiequilibria on Finite-Dimensional Spaces

2018 ◽  
Vol 179 (1) ◽  
pp. 53-64 ◽  
Author(s):  
Marco Castellani ◽  
Massimiliano Giuli ◽  
Massimo Pappalardo
Keyword(s):  
Minimax Inequality ◽  
Finite Dimensional ◽  
Ky Fan Minimax Inequality ◽  
Ky Fan

scholarly journals A Generalized Ky Fan Minimax Inequality on Finite-Dimensional Spaces

2021 ◽  
Author(s):  
Marco Castellani ◽  
Massimiliano Giuli
Keyword(s):  
Equilibrium Problems ◽  
Dimensional Space ◽  
Minimax Inequality ◽  
Finite Dimensional Space ◽  
Proof Technique ◽  
Finite Dimensional ◽  
Monotonicity Assumption ◽  
Generalized Game ◽  
Ky Fan Minimax Inequality ◽  
Ky Fan

AbstractAn existence result for a generalized inequality over a possible unbounded domain in a finite-dimensional space is established. The proof technique allows to avoid any monotonicity assumption. We adapt a weak coercivity condition introduced in Castellani and Giuli (J Glob Optim 75:163–176, 2019) for a generalized game which extends an older one proposed by Konnov and Dyabilkin (J Glob Optim 49:575–577, 2011) for equilibrium problems. Our main result encompasses and generalizes several existence results for equilibrium, quasiequilibrium and fixed-point problems.

scholarly journals Non-emptiness of the alpha-core: sufficient and necessary conditions

2020 ◽  
Vol 49 (4) ◽  
pp. 1143-1153
Author(s):  
Achille Basile ◽  
Vincenzo Scalzo
Keyword(s):  
Necessary Conditions ◽  
Minimax Inequality ◽  
Strategic Games ◽  
Sufficient And Necessary Conditions ◽  
Ky Fan Minimax Inequality ◽  
Ky Fan

AbstractWe give sufficient and necessary conditions for the non-emptiness of the alpha-core in the setting of strategic games with non-ordered and discontinuous preferences. In order to prove our results, we can avoid the use of Scarf’s Theorem for NTU-games, by suitably appealing to the Ky Fan minimax inequality. Examples clarify our conditions and allow the comparison of our results with the previous ones.

scholarly journals Evolution of the Minimax Inequality of Ky Fan

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Sehie Park
Keyword(s):  
Minimax Inequality ◽  
Minimax Inequalities ◽  
Long Period ◽  
Close Relationship ◽  
The Relationship ◽  
Ky Fan ◽  
Or Applications

There are quite a few generalizations or applications of the 1984 minimax inequality of Ky Fan compared with his original 1972 minimax inequality. In a certain sense, the relationship between the 1984 inequality and several hundreds of known generalizations of the original 1972 inequality has not been recognized for a long period. Hence, it would be necessary to seek such relationship. In this paper, we give several generalizations of the 1984 inequality and some known applications in order to clarify the close relationship among them. Some new types of minimax inequalities are added.

scholarly journals On a minimax inequality of Ky Fan

1987 ◽  
Vol 99 (4) ◽  
pp. 680-680 ◽  
Author(s):  
Chung Wei Ha
Keyword(s):  
Minimax Inequality ◽  
Ky Fan

scholarly journals Some KKM theorems in modular function spaces

Filomat ◽  
2014 ◽  
Vol 28 (7) ◽  
pp. 1307-1313
Author(s):  
Nasrin Karamikabir ◽  
Abdolrahman Razani
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Best Approximation ◽  
Modular Function ◽  
Function Spaces ◽  
Minimax Inequality ◽  
Approximation Theorems ◽  
Coincidence Theorem ◽  
Modular Function Spaces ◽  
Ky Fan

In this paper, a coincidence theorem is obtained which is generalization of Ky Fan?s fixed point theorem in modular function spaces. A modular version of Fan?s minimax inequality is proved. Moreover, some best approximation theorems are presented for multi-valued mappings.

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