TY - JOUR
AU - Marinov, Rumen
AU - Nedelcheva, Diana
PY - 2017
TI - INVERSE FUNCTION THEOREM WITH STRONG METRIC REGULARITY
JF - Yearbook - Faculty of Computer Science; Vol 5 No 5 (2016): Yearbook 2016/17
KW -
N2 - Abstract. 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 and the Lipschitz continuity of the function with given nonnegative constants and prove the strong metric regularity of while we assume the properties of and with modulus functions and prove a generalization of their result.
UR - http://js.ugd.edu.mk/index.php/YFCS/article/view/1779