- Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 13 Issue: Special Issue: I Special Issue
- Convergence Theorems with a Faster Iteration Process for Suzuki’s Generalized Non-expansive Mapping ...
Convergence Theorems with a Faster Iteration Process for Suzuki’s Generalized Non-expansive Mapping with Numerical Examples
Authors : Osman Alagoz, Birol Gündüz, Sezgin Akbulut
Pages : 162-174
View : 16 | Download : 2
Publication Date : 2020-02-28
Article Type : Research
Abstract :In this paper firstly, we compared rates of convergences of some iteration processes which converge faster than Picard, Mann, Ishikawa and S-iteration processes. Then, we proved some strong and weak convergence theorems for the fastest iteration process for Suzuki’s generalized non-expansive mapping in Banach spaces. We also supported our theoretical findings via numerical examples.Keywords : Suzuki’s non-expansive mapping, rate of convergence, fixed point