Banach fixed-point theorem: Difference between revisions

Revision as of 03:38, 3 February 2005

Revision as of 03:40, 3 February 2005

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:<math>d(x^*, x_{n+1}) \leq \frac{q}{1-q} d(x_{n+1},x_n)</math>

and

:<math>d(x^*, x_{n+1}) \leq q d(x_n,x_0x^*)</math>.

The smallest such value of ''q'' is sometimes called the ''[[Lipschitz constant]]''.