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à¤Ã×èͧÁ×ͧ͢ËÑÇ¢éÍ | ¤é¹ËÒã¹ËÑÇ¢é͹Õé |
#1
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͸ԺÒ Theorem ¹ÕéãËé·Õ¤ÃѺ
Let N be a contraction($\delta < 1$) ,if we assume that$||F_n-N||=\epsilon _n\rightarrow _{n\rightarrow \infty }0$,then the sequence ${S_n}$ given by
$S_{n+1}=F(x_0+S_n),\qquad S_0=0$ converges to the S, solution of $F(x_0+S)=S$ ͸ԺÒÂãËé·Õ¤ÃѺ ¼Áá»ÃáÅéǧ§§èФÃѺ ¢Íº¤Ø³¤ÃѺ |
#2
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ÍéÒ§ÍÔ§:
$F_n\to F$ ãªèËÃ×ÍäÁè
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