On a Fixed Point Theorem of Ky Fan

2002 ◽  
Vol 18 (2) ◽  
pp. 363-374 ◽  
Author(s):  
Francesco S. De Blasi ◽  
Pando Gr. Georgiev
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Ky Fan

scholarly journals On minimax inequalities on spaces having certain contractible subsets

1993 ◽  
Vol 47 (1) ◽  
pp. 25-40 ◽  
Author(s):  
Sehie Park
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Minimax Theorem ◽  
Saddle Point Theorem ◽  
Minimax Inequalities ◽  
Von Neumann ◽  
Matching Theorem ◽  
Quasi Variational Inequality ◽  
Ky Fan

The concept of a convex space is extended to an H-space; that is, a space having certain family of contractible subsets. For such spaces the KKM type theorems, the Fan-Browder fixed point theorem, the Ky Fan type matching theorem, and minimax inequalities are given. Moreover, applications to a von Neumann-Sion type minimax theorem, a saddle point theorem, a quasi-variational inequality, and a Kakutani type fixed point theorem are obtained.

scholarly journals On some fixed point theorems

1989 ◽  
Vol 12 (1) ◽  
pp. 61-64 ◽  
Author(s):  
D. Roux ◽  
S. P. Singh
Keyword(s):  
Hilbert Space ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Space Setting ◽  
Ky Fan

In this paper we prove a fixed point theorem for inward mappings uing a well-known result of Ky Fan type in Hilbert space setting.

scholarly journals A New Fixed Point Theorem and Applications

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Min Fang ◽  
Xie Ping Ding
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Topological Space ◽  
Point Theorem ◽  
Kkm Theorem ◽  
Minimax Inequalities ◽  
Convexity Structure ◽  
Ky Fan

A new fixed point theorem is established under the setting of a generalized finitely continuous topological space (GFC-space) without the convexity structure. As applications, a weak KKM theorem and a minimax inequalities of Ky Fan type are also obtained under suitable conditions. Our results are different from known results in the literature.

scholarly journals Some fixed point theorems for nonconvex spaces

1998 ◽  
Vol 21 (1) ◽  
pp. 133-137 ◽  
Author(s):  
F. Jafari ◽  
V. M. Sehgal
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Vector Spaces ◽  
Topological Vector Spaces ◽  
Ky Fan

We give a theorem for nonconvex topological vector spaces which yields the classical fixed point theorems of Ky Fan, Kim, Kaczynski, Kelly and Namioka as immediate consequences, and prove a new fixed point theorem for set-valued maps on arbitrary topological vector spaces.

Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem

2016 ◽  
Vol 2017 (1) ◽  
pp. 17-30 ◽  
Author(s):  
Muhammad Usman Ali ◽  
◽  
Tayyab Kamran ◽  
Mihai Postolache ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Integral Inclusion
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