Krasnoselskii iteration process for approximating fixed points of enriched generalized nonexpansive mappings in Banach spaces

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Simsek E., Yildirim İ.

CARPATHIAN MATHEMATICAL PUBLICATIONS, cilt.14, sa.1, ss.86-94, 2022 (ESCI) identifier identifier

  • 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
  • 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.