Open Access
2010 Remarks on Asymptotic Centers and Fixed Points
A. Kaewkhao, K. Sokhuma
Abstr. Appl. Anal. 2010: 1-5 (2010). DOI: 10.1155/2010/247402


We introduce a class of nonlinear continuous mappings defined on a bounded closed convex subset of a Banach space X . We characterize the Banach spaces in which every asymptotic center of each bounded sequence in any weakly compact convex subset is compact as those spaces having the weak fixed point property for this type of mappings.


Download Citation

A. Kaewkhao. K. Sokhuma. "Remarks on Asymptotic Centers and Fixed Points." Abstr. Appl. Anal. 2010 1 - 5, 2010.


Published: 2010
First available in Project Euclid: 12 August 2011

zbMATH: 1213.46019
MathSciNet: MR2746006
Digital Object Identifier: 10.1155/2010/247402

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
Back to Top