BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-69-137 ENTRY:: November 27, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: Fixed points of analytic functions TYPE:: Technical Report AUTHOR:: Henrici, Peter DATE:: July 1969 PAGES:: 8 ABSTRACT:: 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. NOTES:: [Adminitrivia V1/Prg/19951127] END:: STAN//CS-TR-69-137