Convergence Theorems with a Faster Iteration Process for Suzuki’s Generalized Non-expansive Mapping with Numerical Examples

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ALAGÖZ O., GÜNDÜZ B., AKBULUT S.

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.13, no.Özel Sayı - 1, pp.162-174, 2020 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 13 Issue: Özel Sayı - 1
• Publication Date: 2020
• Journal Name: Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
• Page Numbers: pp.162-174
• Bilecik Şeyh Edebali University Affiliated: Yes

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.