arXiv:math/0404235 Abstract

arXiv:math/0404235 [math.FA]Abstract References Reviews Resources

The fixed point property for a class of nonexpansive maps in L\sp\infty(Ω,Σ,μ)

Published 2004-04-12Version 1

For a finite and positive measure space $(\Omega,\Sigma,\mu)$ and any weakly compact convex subset of $L\sp\infty(\Omega,\Sigma,mu)$, a fixed point theorem for a class of nonexpansive self-mappings is proved. An analogous result is obtained for the space $C(\Omega)$. An illustrative example is given.

Comments: 4 pages

Categories: math.FA

Subjects: 47H10

Keywords: fixed point property, nonexpansive maps, weakly compact convex subset, positive measure space, fixed point theorem

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