Firmly nonexpansive and Kirszbraun-Valentine extensions: a constructive approach via monotone operator theory

Heinz H. Bauschke, Xianfu Wang · Contemporary mathematics - American Mathematical Society · 2010

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.

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