Theorem 6 (Quadratic nature of FPI with g'(p)=0 )

Let be a solution of with and continuous and strictly bounded by on an interval containing . Then a exists such that for in , the sequence defined by , when , converges at least quadratically to . Also, for sufficiently large values of ,

> abs(p[n+1]-p)<(M/2)*abs(p[n]-p)^2;