Implicit Function Theorems for M-accretive and Locally Accretive Set-valued Mappings

@inproceedings{Domokos2007ImplicitFT,
  title={Implicit Function Theorems for M-accretive and Locally Accretive Set-valued Mappings},
  author={A. Domokos},
  year={2007}
}
In this paper we elaborate new methods to the theory of parametric generalized equations governed by accretive mappings. Two implicit function theorems will be proved, one for m-accretive and another for locally accretive and continuous set-valued mappings. Making use of the theorem for m-accretive mappings we will study parametric nonlinear evolution problems. It will be also shown that there is possible a unified approach to the theory of implicit function theorems, namely many results on the… CONTINUE READING