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, vol.14, no.1, pp.86-94, 2022 (ESCI, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.15330/cmp.14.1.86-94
  • Journal Name: CARPATHIAN MATHEMATICAL PUBLICATIONS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.86-94
  • Keywords: enriched mapping, Krasnoselskii iteration, fixed point, stability
  • Open Archive Collection: AVESIS Open Access Collection
  • Ataturk University Affiliated: Yes

Abstract

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.