Title of article :
Weak topology and Browder–Kirk’s theorem
on hyperspace
Author/Authors :
Thakyin Hu، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2007
Abstract :
Let K be a weakly compact, convex subset of a Banach space X with normal structure. Browder–Kirk’s
theorem states that every non-expansive mapping T which maps K into K has a fixed point in K. Suppose
now that WCC(X) is the collection of all non-empty weakly compact convex subsets of X. We shall define
a certain weak topology Tw on WCC(X) and have the above-mentioned result extended to the hyperspace
(WCC(X);Tw).
© 2007 Elsevier Inc. All rights reserved.
Keywords :
Normal structure , Hyperspace , Fixed point , Non-expansive mapping
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications