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

E. Simsek, İsa Yıldırım

CARPATHIAN MATHEMATICAL PUBLICATIONS Cilt 14 · Sayı 1 · ss. 86–94 · 01.01.2022
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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.

Anahtar kelimeler

STABILITY fixed point enriched mapping Krasnoselskii iteration

Atıf için künye

Simsek, E., & Yıldırım, İ. (2022). Krasnoselskii iteration process for approximating fixed points of enriched generalized nonexpansive mappings in Banach spaces. CARPATHIAN MATHEMATICAL PUBLICATIONS, 14(1), 86–94. https://doi.org/10.15330/cmp.14.1.86-94

BibTeX
@article{simsek2022-72800,
  author = {Simsek, E. and Yıldırım, İsa},
  title = {Krasnoselskii iteration process for approximating fixed points of enriched generalized nonexpansive mappings in Banach spaces},
  journal = {CARPATHIAN MATHEMATICAL PUBLICATIONS},
  year = {2022},
  volume = {14},
  number = {1},
  pages = {86--94},
  issn = {2075-9827},
  doi = {10.15330/cmp.14.1.86-94},
  url = {https://akademik.atauni.edu.tr/yayinlar/72800-krasnoselskii-iteration-process-for-approximating-fixed-points-of-enriched}
}