INVERSE FUNCTION THEOREM WITH STRONG METRIC REGULARITY.

In this paper we prove an extension of the contraction mapping principle for single-valued mappings dealing with more general assumptions containing modulus instead of pseudo-contractive functions. In [4] A. L. Dontchev and R.T. Rockaffelar supposethe strong metric regularity of set-valued mapping F and the Lipschitz continuity of the function g with given nonnegative constants and prove the strong metric regularity of g + F, while we assume the properties of F and g with modulus functions and prove a generalization of their result. [ABSTRACT FROM AUTHOR]