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Thread: Lipschitz continuous

  1. #1
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    Lipschitz continuous

    Let (X, d_x), (Y, d_y), (Z,d_z) be metric spaces

    1. Let f: x -> Y be lipschitz continuous. show that f is continuous

    2. assume that f: x -> Y and g: Y -> Z are continuous. prove that the composition mapping gf : X-> Z is continuous
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  2. #2
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    With over thirty postings, you should understand that this is not a homework service nor is it a tutorial service. PLease either post some of your own work on this problem or explain what you do not understand about the question.
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