A Generalized Multistep Iterative Scheme for G−Asymptotically Nonexpansive Maps With Applications
Journal of Mathematics, cilt.2026, sa.1, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2026 Sayı: 1
- Basım Tarihi: 2026
- Doi Numarası: 10.1155/jom/9635235
- Dergi Adı: Journal of Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: Banach space, digraph, fixed points, multistep iterative algorithm, signal enhancement
- Atatürk Üniversitesi Adresli: Evet
Özet
In this study, a novel multistep iterative method is proposed and analyzed for the approximation of fixed points of G−asymptotically nonexpansive maps. This new scheme, which generalizes previously established iterative approaches, is developed within the framework of Banach spaces and incorporates the structure of directed graphs. Several theorems concerning the weak and strong convergence of the method are established under appropriate assumptions. In addition, the proposed iterative process is evaluated in the context of signal enhancement, where its performance is tested against different types of noise, including Gaussian and salt-and-pepper models.