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

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Adv. Fixed Point Theory 13 (2023), Article ID 12

Approximation of fixed point via new iterative process for generalized nonexpansive mappings in Banach space

Samir Dashputre, Padmavati -, Rashmi Verma

PDF (255.3 KB) https://doi.org/10.28919/afpt/8075

Abstract

In this paper, we proved strong and week convergence theorem for our proposed iterative process for class of generalized nonexpansive mappings in uniformly convex Banach space. Finally, we present a numerical example to illustrate that our iterative process is faster than the well known iteration process appeared in the literature, the results obtained in this paper improve, extend the results of [6], [9] and many more in this direction.

Published
25 August 2023
Volume
13 (2023)
License
CC BY 3.0

Copyright © 2023 Samir Dashputre, Padmavati -, Rashmi Verma. 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

S. Dashputre, P. -, R. Verma, Approximation of fixed point via new iterative process for generalized nonexpansive mappings in Banach space, Adv. Fixed Point Theory 13 (2023), 12. https://doi.org/10.28919/afpt/8075

BibTeX
@article{Dashputre2023,
  author  = {Dashputre, Samir and -, Padmavati and Verma, Rashmi},
  title   = {Approximation of fixed point via new iterative process for generalized nonexpansive mappings in Banach space},
  journal = {Adv. Fixed Point Theory},
  volume  = {13},
  year    = {2023},
  pages   = {12},
  doi     = {10.28919/afpt/8075}
}