Firmly nonexpansive and Kirszbraun-Valentine extensions: a constructive approach via monotone operator theory
Functional Analysis
2008-07-09 v1 Optimization and Control
Abstract
Utilizing our recent proximal-average based results on the constructive extension of monotone operators, we provide a novel approach to the celebrated Kirszbraun-Valentine Theorem and to the extension of firmly nonexpansive mappings.
Keywords
Cite
@article{arxiv.0807.1257,
title = {Firmly nonexpansive and Kirszbraun-Valentine extensions: a constructive approach via monotone operator theory},
author = {Heinz H. Bauschke and Xianfu Wang},
journal= {arXiv preprint arXiv:0807.1257},
year = {2008}
}