Convergence analysis of Suzuki’s generalized nonexpansive mappings using the Picard–Abbas iteration process

Bashir Nawaz, Krzysztof Gdawiec, Kifayat Ullah, Maha Noorwali and Maggie Aphane

PLOS ONE, 2025, vol. 20, issue 10, 1-19

Abstract: This manuscript investigates the convergence behavior of Suzuki’s generalized nonexpansive mappings using the recently introduced Picard–Abbas iteration process. We establish both weak and strong convergence results for the associated fixed-point approximations. To demonstrate the effectiveness of our approach, a numerical example is provided. Furthermore, we generate polynomiographs based on the proposed iteration process and compare them with those produced by existing methods, highlighting the advantages and visual insights offered by our scheme.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0334440 (text/html)
https://journals.plos.org/plosone/article/file?id= ... 34440&type=printable (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0334440

DOI: 10.1371/journal.pone.0334440

Access Statistics for this article

More articles in PLOS ONE from Public Library of Science
Bibliographic data for series maintained by plosone ().