EDB — 16J

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Exercises

  1. [16J] Given \(L∈(0,1)\) if \(f:ℝ→ℝ\) satisfies

    \[ |f(x)-f(y)|≤ L|x-y|\quad ∀ x,y∈ℝ \]

    Then there is only one ”fixed point” that is a point \(x\) for which \(f(x)=x\).

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  • fixed point
  • function, Lipschitz ---
  • function, Hölder ---
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