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

Cleon S. Barroso
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Abstract

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

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BibTeXRIS

Cleon S. Barroso. 2004-04-12. The fixed point property for a class of nonexpansive maps in L\sp\infty(Ω,Σ,μ). https://arxiv.org/abs/math/0404235

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