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Advances in Inequalities and Applications ISSN 2050-7461

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Adv. Inequal. Appl. 2020 (2020), Article ID 4

Approximation of common fixed points of finite family of mixed-type total asymptotically quasi pseudocontractive-type mappings in Banach spaces

I. K. Agwu, D. I. Igbokwe

PDF (155.9 KB) https://doi.org/10.28919/aia/4542

Abstract

We propose an m-step hybrid-type iteration scheme for finite family of total asymptotically quasi pseudocontractive-type self mappings and finite family of total asymptotically quasi pseudocontractive-type nonself mappings. Under suitable conditions on the iteration parameters, we established strong convergence theorems of the scheme to the common fixed point of the mappings in real Banach spaces. Our results modify, improve and generalise numerous results currently in literature.

Published
3 April 2020
Volume
2020 (2020)
License
CC BY 3.0

Copyright © 2020 I. K. Agwu, D. I. Igbokwe. 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

I. K. Agwu, D. I. Igbokwe, Approximation of common fixed points of finite family of mixed-type total asymptotically quasi pseudocontractive-type mappings in Banach spaces, Adv. Inequal. Appl. 2020 (2020), 4. https://doi.org/10.28919/aia/4542

BibTeX
@article{Agwu2020,
  author  = {Agwu, I. K. and Igbokwe, D. I.},
  title   = {Approximation of common fixed points of finite family of mixed-type total asymptotically quasi pseudocontractive-type mappings in Banach spaces},
  journal = {Adv. Inequal. Appl.},
  volume  = {2020},
  year    = {2020},
  pages   = {4},
  doi     = {10.28919/aia/4542}
}