FIXED POINTS OF ANALYTIC FUNCTIONS
STANFORD UNIV CA DEPT OF COMPUTER SCIENCE
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A continuous mapping of a simply connected, closed, bounded set of the Euclidean plane into itself is known to have at least one fixed point. It is shown that the usual condition for the fixed point to be unique, and for convergence of the iteration sequence to the fixed point, can be relaxed if the mapping is defined by an analytic function of a complex variable.
- Numerical Mathematics