Some remarks on smooth mappings of Hilbert and Banach spaces and their local convexity property

Yarema A. Prykarpatskyy, Petro Ya. Pukach, Myroslava I. Vovk +1

We analyze smooth nonlinear mappings for Hilbert and Banach spaces that carry small balls to convex sets, provided that the radius of the balls is small enough. Being focused on th…