scholarly journals Approximation and fixed point theorems for countable condensing composite maps

2003 ◽  
Vol 68 (1) ◽  
pp. 161-168 ◽  
Author(s):  
Donal O'Regan ◽  
Naseer Shahzad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Approximation Result ◽  
Composite Maps ◽  
Ky Fan

This paper Presents a multivalued version of an approximation result of Ky Fan (Math. Z.112 (1969)) for maps.

scholarly journals Fixed point theorems in minimal generalized convex spaces

Filomat ◽  
2011 ◽  
Vol 25 (4) ◽  
pp. 165-176 ◽  
Author(s):  
Rahmat Darzi ◽  
Rostamian Delavar ◽  
Mehdi Roohi
Keyword(s):  
Fixed Point ◽  
Nash Equilibrium ◽  
Fixed Point Theorem ◽  
Fixed Point Theorems ◽  
Coincidence Point ◽  
Kkm Principle ◽  
Generalized Convex Space ◽  
Ky Fan ◽  
Equilibrium Theorem ◽  
Convex Spaces

This paper deals with coincidence and fixed point theorems in minimal generalized convex spaces. By establishing a kind of KKM Principle in minimal generalized convex space, we obtain some results on coincidence point and fixed point theorems. Generalized versions of Ky Fan?s lemma, Fan-Browder fixed point theorem, Nash equilibrium theorem and some Urai?s type fixed point theorems in minimal generalized convex spaces are given.

Extensions of two fixed point theorems of Ky Fan

1985 ◽  
Vol 190 (1) ◽  
pp. 13-16 ◽  
Author(s):  
Chung-Wei Ha
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Ky Fan

scholarly journals Common fixed point theorems for uniformly subcompatible mappings satisfying more general condition

2011 ◽  
Vol 42 (1) ◽  
pp. 9-17
Author(s):  
R. Sumitra ◽  
V. Rhymend Uthariaraj ◽  
P. Vijayaraju ◽  
R Hemavathy
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Convex Domain ◽  
General Condition ◽  
Best Approximation ◽  
Fixed Point Theorems ◽  
Type Condition ◽  
Approximation Result ◽  
Locally Convex ◽  
Common Fixed Point Theorems

We prove common fixed point theorems for uniformly subcompatible mappings satisfying a more generalized ciric type condition and a condition more general than gregus type condition in a locally convex domain. As an application, we have also established best  approximation result. Our results extend recent results existing in the literature.

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 geometric property of convex sets with applications to minimax type inequalities and fixed point theorems

1988 ◽  
Vol 45 (2) ◽  
pp. 169-183 ◽  
Author(s):  
Mau-Hsiang Shih ◽  
Kok-Keong Tan
Keyword(s):  
Fixed Point ◽  
Geometric Property ◽  
Fixed Point Theorems ◽  
Convex Sets ◽  
Minimax Inequality ◽  
Minimax Inequalities ◽  
Von Neumann ◽  
Neumann Type ◽  
Ky Fan

AbstractA geometric property of convex sets which is equivalent to a minimax inequality of the Ky Fan type is formulated. This property is used directly to prove minimax inequalities of the von Neumann type, minimax inequalities of the Fan-Kneser type, and fixed point theorems for inward and outward maps.

A Matching Theorem in FC-Spaces with the Application to Coincidence Questions

2012 ◽  
Vol 204-208 ◽  
pp. 4766-4770
Author(s):  
Kai Ting Wen
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Coincidence Theorems ◽  
Matching Theorem ◽  
Ky Fan

A Ky Fan type matching theorem for weakly transfer compactly open valued mappings is established in FC-spaces. As applications, Fan–Browder type fixed point theorems and Ky Fan type coincidence theorems are obtained in FC-spaces.

scholarly journals Some generalizations in H-modular spaces of Fan's best approximation theorem

1994 ◽  
Vol 56 (3) ◽  
pp. 291-302 ◽  
Author(s):  
Carlo Bardaro ◽  
Rita Ceppitelli
Keyword(s):  
Fixed Point ◽  
Best Approximation ◽  
Fixed Point Theorems ◽  
Approximation Theorem ◽  
Space Structure ◽  
Modular Spaces ◽  
Ky Fan

AbstractWe state best approximation and fixed point theorems in modular spaces endowed with an H-space structure given by the modular topology. We consider both the cases of single valued functions and multifunctions. These theorems extend some previous results due to Ky Fan.

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.

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