The fixed point property for a class of nonexpansive maps in L\sp\infty(\Omega,\Sigma,\mu)
Functional Analysis
2007-05-23 v1
Abstract
For a finite and positive measure space and any weakly compact convex subset of , a fixed point theorem for a class of nonexpansive self-mappings is proved. An analogous result is obtained for the space . An illustrative example is given.
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Cite
@article{arxiv.math/0404235,
title = {The fixed point property for a class of nonexpansive maps in L\sp\infty(\Omega,\Sigma,\mu)},
author = {Cleon S. Barroso},
journal= {arXiv preprint arXiv:math/0404235},
year = {2007}
}
Comments
4 pages