Work

Qualitative study of a three-step iteration procedure in W-hyperbolic spaces

Year: 2025

Type: article

Abstract: In this paper we study the convergence, stability and data independence of the $${S_n}$$ iteration procedure in the W-hyperbolic setting, in connection to hyperbolic contractive mappings. Examples of hyperbolic contractions are provided, based on the convexity map. In particular, we associate the Poincaré disk with the appropriate convexity map, for which we determine the specific formula. Finally, we numerically test the convergence of the orbits under the $${S_n}$$ iteration procedure. This study brings a new contribution to a problem of recent interest: the qualitative analysis of iterative procedures in nonlinear framework.

Source: Journal of Applied Mathematics and Computing

DOI: 10.1007/s12190-025-02488-y

Authors: Andreea Bejenaru, Cristina Calineata, Cristian Ciobanescu, Mihai Postolache

Institutions: Universitatea Națională de Știință și Tehnologie Politehnica București, North Minzu University, Romanian Academy

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

OpenAlex ID: W4409542479