On \(\epsilon\) quasi-convex mappings in the unit ball of a complex Banach space
The authors introduce a new class of biholomorphic mappings named \(\varepsilon\) quasi-convex mappings in the unit ball of a complex Banach space. They generalize the definition of an \(\varepsilon\)-starlike mapping from \(\varepsilon\in [0,1]\) to \(\varepsilon\in [-1,1]\). Some properties of \(\varepsilon\) quasi-convex mappings are obtained. Some concrete examples of \(\varepsilon\) quasi-convex mappings or \(\varepsilon\)-starlike mappings for \(\varepsilon\in [-1,1]\) in Banach spaces are also given.
scientific article; zbMATH DE number 5077889
scientific article