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Notes in 09压缩映射原理求极限

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Published 10/05/2024 压缩映射原理一 对数列 \(\left\{x_n\right\}\), 若存在常数 \(k(0<k<1)\), 使得 \(\left|x_{n+1}-a\right| \leqslant k\left|x_n-a\right|, n=1,2, \cdots\), 则 \(\left\{x…
Published 10/05/2024 压缩映射原理二 对数列 \(\left\{x_n\right\}\), 若 \(x_{n+1}=f\left(x_n\right), n=1,2, \cdots, f(x)\) 可导, \(a\) 是 \(f(x)=x\) 的唯一解, 且 \(\forall x \in R\),有 \(\left|…
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