On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space

Kadıoğlu Karaca, Nazlı

doi:10.51354/mjen.1361003

Makale Tam Makale Ulusal 2023

On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space

Nazlı Kadıoğlu Karaca

Manas Journal of Engineering Cilt 11 · Sayı 2 · ss. 223–228 · 25.12.2023

DOI ile aç

Özet

In this paper, we introduce the definition of a new class of generalized nonexpansive mappings in hyperbolic space. Additionally, we construct the rewritten version of the Mann iteration process in hyperbolic space. Then, using the iterative procedure we established, we prove convergence theorems for 𝑎−𝑏−generalized nonexpansive mappings in a uniformly convex hyperbolic space. Lastly, we offer a numerical example to illustrate our findings.

Atıf için künye

Kadıoğlu Karaca, N. (2023). On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space. Manas Journal of Engineering, 11(2), 223–228. https://doi.org/10.51354/mjen.1361003

BibTeX

@article{kadioglukaraca2023-57178,
  author = {Kadıoğlu Karaca, Nazlı},
  title = {On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space},
  journal = {Manas Journal of Engineering},
  year = {2023},
  volume = {11},
  number = {2},
  pages = {223--228},
  issn = {1694-7398},
  doi = {10.51354/mjen.1361003},
  url = {https://akademik.atauni.edu.tr/yayinlar/57178-on-approximating-fixed-points-of-a-new-class-of-generalized-nonexpansive}
}