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

ALAGÖZ, OSMAN; GÜNDÜZ, Birol; AKBULUT, Sezgin

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

Atıf İçin Kopyala

ALAGÖZ O., GÜNDÜZ B., AKBULUT S.

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, cilt.13, sa.Özel Sayı - 1, ss.162-174, 2020 (Hakemli Dergi)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 13 Sayı: Özel Sayı - 1
Basım Tarihi: 2020
Dergi Adı: Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Sayfa Sayıları: ss.162-174
Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

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.