Graphical Interpretation y y x (Po,gPo)》 (p1,p1）=gx) (PI,P) (po:g(Po)) g(x) Po Po P2 Pp 0<g(P)<1 -1<g(P)<0 Monotone convergence and oscillating convergence 华南师范大学数学科学学院谢骊玲
Graphical Interpretation O P P x y p1 p0 (p0 ,g(p0 (p )) 1 , p1 ) y=g(x) y=x 0 < g’(P) < 1 y=x O x y y=g(x) p0 p2 P p1 P (p0 ,g(p0 )) (p1 , p1 ) -1 < g’(P) < 0 华南师范大学数学科学学院 谢骊玲 Monotone convergence and oscillating convergence
Graphical Interpretation y g(x) Po-g(po)》 (p1,p1) (Po:8(Po) 8(P)>1 =g(x) g(P)<-1 0 0 Po P p2 Po PP Monotone divergence and divergent oscillation What will happen when g(P)=1? 华南师范大学数学科学学院谢骊玲
Graphical Interpretation 华南师范大学数学科学学院 谢骊玲 O P P x y p0 p1 (p0 ,g(p0 )) y=g(x) y=x g’(P) > 1 y=x O x y y=g(x) p2 p0 P p1 P (p0 ,g(p0 )) (p1 , p1 ) g’(P) < -1 Monotone divergence and divergent oscillation What will happen when g’(P)=1 ?