6533b7dbfe1ef96bd127163f
RESEARCH PRODUCT
On approximating curves associated with nonexpansive mappings
Francesca Vetrosubject
General MathematicsApproximating curve fixed point contractive mapping nonexpansive mapping hyperbolic metric holomorphic mapping.Settore MAT/03 - GeometriaMathematicsdescription
Let X be a Banach space with metric d. Let T, N : X → X be a strict d-contraction and a d-nonexpansive map, respectively. In this paper we investigate the properties of the approximating curve associated with T and N. Moreover, following [3], we consider the approximating curve associated with a holomorphic map f : B → α B and a ρ-nonexpansive map M : B → B, where B is the open unit ball of a complex Hilbert space H, ρ is the hyperbolic metric defined on B and 0 ≤ α < 1. We give conditions on f and M for this curve to be injective, and we show that this curve is continuous.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-01-01 |