%0 Journal Article
%T Global convergence and non existence of periodic points of period 4
%A Basilio Messano
%J Le Matematiche
%D 1989
%I University of Catania
%X It is given a non trivial example of nonempty subset I of C0([0,1]2) such that: whatever F   I be, for the pair ([0,1]2,F)  the successive approximations method converges globally (i.e. For each P   [0,1]2 the sequence (Fn(P))n  N converges to a fixed point of F if and only if F has no periodic point of period 4.
%U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/696