## Abstract and Applied Analysis

### The fixed-point property in Banach spaces containing a copy of $c_0$

Maria A. Japón Pineda

#### Abstract

We prove that every Banach space containing an isomorphic copy of $c_0$ fails to have the fixed-point property for asymptotically nonexpansive mappings with respect to some locally convex topology which is coarser than the weak topology. If the copy of $c_0$ is asymptotically isometric, this result can be improved, because we can prove the failure of the fixed-point property for nonexpansive mappings.

#### Article information

Source
Abstr. Appl. Anal., Volume 2003, Number 3 (2003), 183-192.

Dates
First available in Project Euclid: 15 April 2003

https://projecteuclid.org/euclid.aaa/1050426034

Digital Object Identifier
doi:10.1155/S1085337503203055

Mathematical Reviews number (MathSciNet)
MR1980316

Zentralblatt MATH identifier
1037.47040

#### Citation

Pineda, Maria A. Japón. The fixed-point property in Banach spaces containing a copy of $c_0$. Abstr. Appl. Anal. 2003 (2003), no. 3, 183--192. doi:10.1155/S1085337503203055. https://projecteuclid.org/euclid.aaa/1050426034