MHB Fixed Point Theory: Lipschitz or Contraction?

ozkan12
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I see that if a mapping is contraction then it is contractive then it is nonexpensive and then it is lipschtiz...so, which class of mapping is general ? lipschitz or contraction ? which one ? thank you for your attention :)
 
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Contraction is a special case of Lipschitz continuous functions, namely, with Lipschitz constant $K$ satisfying $0\le K<1$.
 
so, lipschitz mappings are more general than contraction ?
 
ozkan12 said:
so, lipschitz mappings are more general than contraction ?
Yes.
 
ok. thanks a lot :)
 
I posted this question on math-stackexchange but apparently I asked something stupid and I was downvoted. I still don't have an answer to my question so I hope someone in here can help me or at least explain me why I am asking something stupid. I started studying Complex Analysis and came upon the following theorem which is a direct consequence of the Cauchy-Goursat theorem: Let ##f:D\to\mathbb{C}## be an anlytic function over a simply connected region ##D##. If ##a## and ##z## are part of...
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