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A novel iterative process for numerical reckoning of fixed points via generalized nonlinear mappings with qualitative study
- Source :
- Demonstratio Mathematica, Vol 57, Iss 1, Pp 133-181 (2024)
- Publication Year :
- 2024
- Publisher :
- De Gruyter, 2024.
-
Abstract
- This manuscript is devoted to constructing a novel iterative scheme and reckoning of fixed points for generalized contraction mappings in hyperbolic spaces. Also, we establish Δ\Delta and strong convergence results by the considered iteration under the class of mappings satisfying condition (E). Moreover, some qualitative results of the suggested iteration, like weak w2{w}^{2}-stability and data dependence results, are discussed. Furthermore, to test the efficiency and effectiveness of the proposed iteration, practical experiments are given. To support the theoretical results, illustrative examples are presented. Finally, our results improve and generalize several classical results in the literature of fixed point iterations.
Details
- Language :
- English
- ISSN :
- 23914661
- Volume :
- 57
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Demonstratio Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.42efe148dee24064bb6fe35ac03f77f8
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/dema-2023-0151