Krasnoselskii iteration process for approximating fixed points of enriched generalized nonexpansive mappings in Banach spaces
CARPATHIAN MATHEMATICAL PUBLICATIONS, cilt.14, sa.1, ss.86-94, 2022 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 1
- Basım Tarihi: 2022
- Doi Numarası: 10.15330/cmp.14.1.86-94
- Dergi Adı: CARPATHIAN MATHEMATICAL PUBLICATIONS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
- Sayfa Sayıları: ss.86-94
- Anahtar Kelimeler: enriched mapping, Krasnoselskii iteration, fixed point, stability
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Atatürk Üniversitesi Adresli: Evet
Özet
We consider the class of enriched generalized nonexpansive mappings which includes enriched Kannan mappings, nonexpansive enriched Chatterjea mappings and enriched mappings. We prove some fixed point theorems for enriched generalized nonexpansive mappings using Krasnoselskii iteration process in Banach spaces. We also give stability result for such mappings under some appropriate conditions. The results presented in this paper improve and extend some works in literature.