New iteration process for total asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
Abstract
In this paper, we establish a fixed point result for a total asymptotically nonexpansive mapping along with the iterative construction of common fixed point of a finite family of these mappings in uniformly convex hyperbollic spaces. Our convergence results can be viewed not only as an analog of various existing results but also improve and generalize various results in the current literature.
Copyright © 2018 Yogesh Kumar Sahu, Rajlaxmi Gupta, B.L. Malager, Samir Dashputre. 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
Y. K. Sahu, R. Gupta, B. L. Malager, S. Dashputre, New iteration process for total asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces, Adv. Fixed Point Theory 8 (2018), 234–246. https://doi.org/10.28919/afpt/3595
BibTeX
@article{Sahu2018,
author = {Sahu, Yogesh Kumar and Gupta, Rajlaxmi and Malager, B.L. and Dashputre, Samir},
title = {New iteration process for total asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces},
journal = {Adv. Fixed Point Theory},
volume = {8},
year = {2018},
pages = {234--246},
doi = {10.28919/afpt/3595}
}