| Revision as of 14:22, 1 November 2007 edit128.197.40.77 (talk) Nonlinear operators? | Revision as of 07:36, 20 December 2011 edit undo94.197.109.147 (talk) →Definition: new sectionNext edit → | ||
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| This page does not specify if the operators under discussion are linear. The first link (operator norm) seems to assume linear operators. My question is, does this discussion generalize to nonlinear operators? | This page does not specify if the operators under discussion are linear. The first link (operator norm) seems to assume linear operators. My question is, does this discussion generalize to nonlinear operators? | ||
| == Definition == | |||
| It needs to be made clear that a contraction operator is not in general a ] since the inequality is onlt weak. Indeed some texts, eg Kres, ''Numerical analysis'', GTM 181, use the stronger definition. ] (]) 07:36, 20 December 2011 (UTC) | |||
Revision as of 07:36, 20 December 2011
This page does not specify if the operators under discussion are linear. The first link (operator norm) seems to assume linear operators. My question is, does this discussion generalize to nonlinear operators?
Definition
It needs to be made clear that a contraction operator is not in general a contraction mapping since the inequality is onlt weak. Indeed some texts, eg Kres, Numerical analysis, GTM 181, use the stronger definition. 94.197.109.147 (talk) 07:36, 20 December 2011 (UTC)