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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 14 (2024), Article ID 40

Some common fixed point results in hyperbolic spaces

Khanitin Samanmit, Buraskorn Nuntadilok, Pitchaya Kingkam

PDF (183.5 KB) https://doi.org/10.28919/afpt/8703

Abstract

In this manuscript, we investigate common fixed point results for two infinite families of uniformly L-Lipschitzian total asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces which are essentially more general than asymptotically nonexpansive mappings in the intermediate sense. We prove strong convergence and ∆-convergence theorems for such mappings via Ishikawa type iterative schemes. Our results generalize, extend and improve several corresponding results in the existing literature.

Published
5 August 2024
Volume
14 (2024)
License
CC BY 3.0

Copyright © 2024 Khanitin Samanmit, Buraskorn Nuntadilok, Pitchaya Kingkam. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

K. Samanmit, B. Nuntadilok, P. Kingkam, Some common fixed point results in hyperbolic spaces, Adv. Fixed Point Theory 14 (2024), 40. https://doi.org/10.28919/afpt/8703

BibTeX
@article{Samanmit2024,
  author  = {Samanmit, Khanitin and Nuntadilok, Buraskorn and Kingkam, Pitchaya},
  title   = {Some common fixed point results in hyperbolic spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {14},
  year    = {2024},
  pages   = {40},
  doi     = {10.28919/afpt/8703}
}