The fixed point property in a Banach space isomorphic to $c_0$

TL;DR

This paper proves that a specific Banach space, related to c0, possesses the fixed point property for non-expansive mappings, expanding understanding of fixed point theory in Banach spaces.

Contribution

It establishes the fixed point property for a Banach space isomorphic to c0, a result not previously known for this particular space.

Findings

The space has the fixed point property for non-expansive mappings.

The space is isomorphic to c0.

The result extends fixed point theory to new Banach space classes.

Abstract

We consider a Banach space, which comes naturally from c0 and it appears in the literature, and we prove that this space has the fixed point property for non-expansive mappings.