Fixed Point Theory: Lipschitz or Contraction?

[ozkan12]

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 :)

 

[Evgeny.Makarov]

Contraction is a special case of Lipschitz continuous functions, namely, with Lipschitz constant $K$ satisfying $0\le K<1$.

 

[ozkan12]

so, lipschitz mappings are more general than contraction ?

 

[Evgeny.Makarov]

so, lipschitz mappings are more general than contraction ?

Yes.

 

[ozkan12]

ok. thanks a lot :)